An escalator in a department store makes an angle of 45 degrees with the ground. How long is the escalatorif it carries people a vertical distance of 24 feet?48 ftO 8v3 ft24 /2 ft

We are given with the problem whose angle elevation is 45° and vertical distance 24

Answered: escalator in a department store makes…

escalator in a department store makes an angle of 45 degrees with the ground. How long is the escalat carries people a vertical distance of 24 feet? 48 ft

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter1: The Six Trigonometric Functions

Section1.1: Angles, Degrees, And Special Triangles

Problem 78PS: An escalator in a department store makes an angle of 45 with the ground. How long is the escalator...

See similar textbooks

Related questions

Q: A 9-foot (ft) ladder and a 4-foot ladder are leaning against a house. The two ladders create angles…

Q: A 48-foot building casts a shadow 72 feet measured along the ground. What is the angle of the sun's…

A: 3.1 :

Q: Tree Stake. A tree needs to be staked down prior to a storm. If the ropes can be tied on the tree…

A: Concept= Sin(x)=Perpendicular/hypotenuse

Q: The angle of depression from one side of a lake, measured from a kite 2500 ft. above the lake is 43…

A: Given : The angle of depression from one side of a lake, measured from a kite 2500 ft. above the…

Q: A wind-swept tree grows at an angle of 85°. Bailee wants to know the height of the tree. She walks…

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: A 15 m ladder is leaning against a building. The foot of the ladder is at an angle of 74° to the…

A: Topic = Triangle

Q: #1 An escalator in a department store is to carry people at a vertical distance of 22 feet between…

Q: Escalator An escalator in a department store is to carry people a vertical distance of15 feet…

A: we have been given the distance between the floors is 15 feet. angle of elevation is 45° with the…

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 11 degrees…

A: We have to find the height of the building if angle of elevation is 11° from the ground at a…

Q: The angle of elevation to the top of a skyscraper from a 30m high house is 50 degrees. The base of…

Q: From the top of a building 60 feet high, the angle of elevation of the top of a vertical pole is…

A: To find: The distance of pole from the building: Formula used: Trigonometric ratio: tan θ=pb Here, p…

Q: The proper angle for a ladder is about 75° from the ground. Suppose you h. ladder. How high can it…

Q: steel loading ramps asre used to load a lawn mower onto a truckbed 37.5 inches above ground. if the…

Q: A roof is in the shape of an isosceles triangle. The roof is 44 feet wide. Its sides have angle of…

A: An isosceles triangle is the triangle in which its two sides are equal.

Q: Points A and B are on opposite sides of the Grand Canyon Point C is 200 yards from A. Angle B…

A: Consider the formula for the sine rule for triangles. Use the sine rule to calculate the distance…

Q: Roof trusses often use right triangles to hold up the weight of a roof. A house is 50 feet wide and…

A: House is 50 feet wide. Therefore base of an isosceles right angle triangle is: 50 feet.

Q: You lean a ladder 7.6 meters long against the wall. It makes an angle of 73 degrees with the level…

Q: A ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is…

Q: An escalator lifts people to the second floor of a building, 30 ft above the first floor. The…

A: Soln Sin30 = 30x I2 = 30x x = 30×2 x = 60 ftso The person travel…

Q: . From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the…

Q: A person flying a kite has released 176 m of string. The string makes an angle of 27° with the…

Q: )A ladder leans against the side of a building with its foot 12 ft from the building. How far from…

Q: top of a 100-foot lookout tower? How high does a ladder reach if an 8-foot ladder is leaning against…

A: Given: The length of ladder is 8 feet and ladder makes an angle 53° with the wall. Formula used:…

Q: Roof trusses often use right triangles to hold up the weight of a roof. A house is 50 feet wide and…

A: We can find the correct answer as below.

Q: A ship's sonar locates a treasure chest at a 12° angle of depression. A diver is lowered 40 meters…

Q: An escalator lifts people to the second floor of a building, 22 ft above the first floor. The…

A: Given : Hight from 1st floor to 2nd floor = 22 ft let Length of escalator = x ft angle of…

Q: The proper angle for a ladder is about 75° from the ground. Suppose you have a 25 foot ladder. How…

A: Length of ladder = 25 ft the measure of angle with respect to ground = 75° To find height H that…

Q: You decide to put up an outdoor movie screen for the backyard. The screen is 12 feet high, and it…

A: Here the 12ft height screen is fixed using two wires of length 18ft. We have to find the distance of…

Q: A ladder leans against a building forming an angle of 54° with the ground. The base of the ladder is…

Q: Two runners in a marathon determine that the angles of elevation of a news helicopter are 38 degrees…

A: given that angles of elevation of a news helicopter are 38 degrees and 45 degrees. helicopter is…

Q: A kite on a 100 feet string has an angle of elevation of 18 degrees. The hand holding the string is…

Q: A flagpole 24 feet high snapped in a storm, it's top touching the ground 8 feet from the base.

Q: A large weather balloon is tethered by two ropes. One rope measures ft and attaches to the balloon…

A: The balloon's height is 10.60 the length of the second rope is…

Q: A kite is stuck in a tree and Joe is holding the string. The angle formed between the kite string…

A: This question is about application of trigonometry identities.

Q: A ladder is leaning against a wall and makes an 82° angle of elevation with the ground. Part A: If…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A ladder leaning against a house makes an angle of 60° with the ground. The foot of the ladder is 7…

Q: 30) A ramp is built to reach a doorway that is 9 feet off the ground. The ramp makes a 37° angle…

A: Please ask one question at a time. As you didn't write which question's answer you want, solved…

Q: The length of a tree's shadow is 22 feet when the angle of elevation to the sun is 42°. How tall i…

A: First I have draw the right angle triangle for given information and then using it's property solved…

Q: A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower 150 feet…

Q: Part of the Tower Bridge in London is a drawbridge. This part of the bridge is 76.0 m long. When…

Q: A farmer has a triangular field where two sides measure 380 yards and 360 yards. The angle between…

Q: The angle of elevation from a boat to the top of a lighthouse is 25°. The lighthouse is 150 feet…

Q: The blade of a windshield wiper sweeps out an angle of 135° in one cycle. The base of the blade is…

A: Follow the procedure given below.

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 61° when the…

Q: A tree casts a shadow 36 m long when the sun's rays are at an angle of 22° to the ground. How tall…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 4. An extension ladder is leaning against a wall and is 9 feet from the base of the wall. The ladder…

Q: 25

Q: A radio station tower was built in two sections. From a point 87 feet from the base of the tower,…

Q: he angle that the top of a tree makes with the horizon is 59∘. The distance that the measurement of…

Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

An escalator in a department store makes an angle of 45 degrees with the ground. How long is the escalator
if it carries people a vertical distance of 24 feet?
48 ft
O 8v3 ft
24 /2 ft

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Ratios$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.

Similar questions

A pine tree casts a shadow of 80 feet next to a 30-foot tall building which casts a 40 feet shadow. How tall is the pine tree?
An escalator in a department store makes an angle of 45 with the ground. How long is the escalator if it carries people a vertical distance of 24 feet? a. 122ft b. 242ft c. 83ft d. 48 ft
Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.
In a softball game, a batter hits a ball to dead center field, a distance of 240 feet from home plate. The center fielder then throws the ball to third base and gets a runner out. The distance between the bases is 60 feet. How far is the center fielder from third base?
The angle of elevation to the top of a flagpole at a distance of 19 feet from its base is 64.6. How tall is the flagpole?
Gina is standing near a building and notices that the angle of elevation to the top of the building is 68. She then walks 72 feet further away from the building and notices that the angle of elevation to the top of the building is now only 51. Find the height of the building. a. 2511 b. 56ft c. 149ft d. l80ft
Use the Pythagorean Theorem to find the length of the leg in the figure.
On a map, San Francisco, Las Vegas, and Los Angeles form a triangle whose sides the shown in the figure below. The actual distance from Los Angeles to Las Vegas is 270 miles. Find the distance from San Francisco to Las Vegas.