Sighting the top of a building, a surveyor measured the angle of elevation tobe 22°. The transit is 5 feet above the ground and 300 feet from the building. Find the building’s height.

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

A:

Q: An aerial photograph is taken of a building. The photograph is made when the angle of elevation of…

A: The angle of elevation is the angle that a point makes with reference to another point with the…

Q: A tree casts a 60-foot shado wwhen the angle of elevation of the sun (measured from the horizontal)…

A: A tree casts a 60-foot shadow when the angle of elevation of the sun (measured from the horizontal)…

Q: An aerial photograph is taken of a building. The photograph is made when the angle of elevation of…

A: tan θ=oppositeadjacent

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 Janitor is having a short nap in the shade under a tree that is 100m from the base of the tower.…

A: Let's find.

Q: How tall is a building if you are 100 feet from the base and the angle of elevation is 60°

A: Tanθ = PB where P is perpendicular or height of the triangle and B is base of a triangle.

Q: A surveyor is 100 meters from a bridge. The angle of elevation to the top of the bridge is 35°. The…

A:

Q: The angle of elevation from the end of 63 ft long shadow to the top of a monument is 40°. To the…

A: The angle of elevation from the end of 63 ft long shadow to the top of a monument is 40°.

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

A:

Q: A certain flagpole that is 290 feet tall casts a shadow 144 feet long. Find the angle of elevation…

A: As given,          flagpole height = 290 feet.          shadow is 144 feet long. this looks like…

Q: The Washington Monument is 555 feet high. If you are standing one quarter of a mile, or 1320 feet,…

A: Given Height of monument (H) = 555 ft Distance between monument's base and you = 1320 ft

Q: A 370-foot tall giant redwood grows exactly vertically from the ground. I walked a certain distance…

A: for given information :

Q: To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then,…

A:

Q: A window in an apartment building is 15 m above the ground. From the window, the angle of elevation…

A: From the given problem the represented diagram is as shown below.

Q: A flagpole casts a shadow that is 15 feet long. The angle of elevation of the sun at this time is 40…

A: Drawing a figure to represent the given data will simplify the question for us. After that we will…

Q: A surveyor is measuring the distance across a small lake. He has a set up his transit on one side of…

A: Let T=Transit , P=piling , Q= pier We draw the situation roughly. TP=120 ft and PQ=d and angle QTP=…

Q: The angle of elevation from a point on the ground to the top of a pyramid is 35(degrees)30'. The…

A: It is given that, the angle of elevation from a point on the ground to the top of a pyramid is…

Q: park. The angle of elevation from Sara to kite in the sky is 53° and the length of the string is 32…

A: Given:Here the angle of elevation is 53°The length of the string is 32 feet.To find:How…

Q: The height of a tower is 175feet and it casts a shadow of 78 feet. find the angle elevation fUM the…

A: The height of a tower is 175 feet and it casts a shadow of 78 feet.

Q: A railroad scaling a mountain is 249 m long and rises 124 m in elevation. What is the angle of the…

A:

Q: jacks eyes are 5 feet above the ground. He is standing 400 feet from the base of a building. The…

A: jacks eyes are 5 feet above the ground, he is standing 400 feet from the base of a building, and the…

Q: From a bedroom window of an apartment, Jack witness an accident at an angle of depression of 58…

A: Given Data: The angle of depression of the accident is: θ=58° The distance between the base of the…

Q: To measure the height of a rock formation, a surveyor places her transit 100 m from its base and…

A: Let height of rock formation be 'x' from the ground   Consider ∆ABEtan 67° = ABBE            =…

Q: The captain of a ship at sea sights a lighthouse which is 240 feet tall. The captain measures the…

A: The height of the lighthouse, h = 240 ft Angle of elevation to the top of the lighthouse, θ=19° To…

Q: Find the angle of elevation of the sun when a tree that is 8 feet tall casts a shadow that is 10…

A: The height of the tree, h = 8 feet The length of the shadow, l = 10 feet To evaluate : The value of…

Q: A boy visiting New York City views the Empire State building from a point on the ground, A, which is…

A: Explanation and solutions is given below....

Q: While sailing toward a​ statue, a sailor in a boat observed that at a certain​ point, the angle of…

A: A sailor in a boat observed that at a certain​ point, the angle of elevation of the tip of the torch…

Q: Airplane landing A pilot, flying at an altitude of 5000 feet, wishes to approach the numbers on a…

A: A pilot , flying at an altitude of 5000 ft, wishes to approach the numbers on a runway at an angle…

Q: The angle of elevation from a viewer to the center of a fireworks display is 55°. If the viewer is…

A: let height of center of display is h

Q: An airplane climbs at an angle of 13° with the ground. What is the distance it has traveled (to the…

A:

Q: 1. A6-foot-tall man is standing 50 feet from a flagpole. When he looks at the top of the flagpole,…

A: The answer is found in step-2

Q: Ahelicopter hovers 975 feet above a small island. The figure shows that the angle of depression from…

A: detailed solution is given below

Q: The angle of depression from the top of a cruise ship to the top of a sailboat is 22°. Sitting above…

A: Angle between horizontal line and line of sight, when observer is seeing any object from height is…

Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

A: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

Q: A man on the deck of a ship is 13 ft above water level. He observes that the angle of elevation of…

A:

Q: Rachel is standing at the base of a mountain. The angle of elevation to the top of the mountain is…

A: We can easily find the straight-line distance from Rachel to the top of mountain by using basic…

Q: A surveyor is standing 118 feet from the base of the Washington Monument. The surveyor measures the…

A: tan∅=h/base of the mounment. tan78=h/118

Q: To estimate the height of a mountain, two students find the angle of elevation from a point (at…

A:

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

A:

Q: measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of the…

A: To measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of…

Q: where

A: In a right angled triangle:- Tan X = Perpendicular/Base

Q: The swimming pool has a depth of 4 ft at the shallow end and 8 ft at the deep end. The bottom of the…

A:

Q: A person is standing 118 feet from the base of the Washington Monument. The person measures the…

A:

Q: The angle of depression from the light at the top of a lighthouse to a ship at sea 2.5km from the…

A: Given:  The angle of depression from the light at the top of a lighthouse to a ship at sea 2.5km…

Q: At a point 500 miles north of a ship, the shoreline runs east and west. West of that point, the…

A:

Q: A lighthouse built at sea level is 150 feet high. From its top, the angle of depression of a buoy is…

A: A lighthouse built at sea level is 150 feet high. From its top, the angle of depression of a buoy is…

Q: While sailing toward a​ statue, a sailor in a boat observed that at a certain​ point, the angle of…

A: Let’s draw a figure for the given situation. Let AB be the height of the statue, C is the initial…

Q: A surveying team determines the height of the hill by placing a 12-foot pole at the top of the hill…

A: Consider the surveying team determines the height of the hill by placing a 12-foot pole at the top…

Q: _3. At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of…

A:

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.