As shown in the figure, Kaitlin is standing 24 feet from the base of a leaning tree. The length of the tree is 68 feet. The angle of the elevation from where Kaitlin is standing to the top of the tree is 72 degrees. Find the angle that the the tree is leaning. Round to the nearest tenth degree.

Q: The cross section of a rivet has a top that is an arc of a circle. If the ends of the arc are 11 mm…

A: From the given information, length of the arc is 11 mm and since the top is 7 mm apart , the radius…

Q: The Washington Monument in Washington, D.C. is 555 feet tall. If a tourist sees the monument with a…

A: The Washington Monument in Washington, D.C. is 555 feet tall and a tourist sees the monument with a…

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Given that, there is a triangle with angle A which is complement of 52 degree   A = 90-52 = 38…

Q: From a window, 30 ft above the street, the angle of elevation to the top of the building is 50…

A:

Q: measure a stone face carved on the side of a​ mountain, two sightings 650 feet from the base of the…

A: Given query is to find the height of the stone face using triangle.

Q: From a window 31.0 ft above the street, the angle of elevation to the top of the building across the…

A:

Q: A surveyor starts at the edge of a lake, at point A, and measures a 90° angle between B and C, as…

A: Here we will find the length of the lake between A and C,

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: As Paula looks up at the top of the monument, she finds that the angle of elevation is 20 degrees.…

A: Given:Degree=20°Monument tall=5 meterstanx=opposite sideadjacent side

Q: A helicopter takes off, and travels forward at an angle of 65.1°above horizontal. After following…

A:

Q: A student measures the length of the shadow of the Washington Monument to be 620ft. If the Monument…

A:

Q: From a point on the ground 43m away from a tree, the angle of elevation is 30 degrees. How tall is…

A:

Q: The top of the building makes an angle of elevation of 40 degrees from a car parked on the ground.…

A: From triangle,tan40o = 60xx = 60tan40o = 71.50 mSo, the car is parked 71.50 m away from the base of…

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Given angle of elevation of woman to see the top of building from ground floor = 55°. She rides…

Q: A radio tower is located 375 feet from a building. From a window in the building, a person…

A:

Q: A ladder leaning against a building makes an angle of 78 degrees with the ground. The base of the…

A: According to trigonometric ratios, and .

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A:

Q: A lighthouse operator sights a sailboat at an angle of depression of 17 degrees. If the lighthouse…

A:

Q: 75 feet The angle of depression from the top of a flag pole to a point on the ground is 30°. If the…

A:

Q: At a point 30 ft from the base of a tree, the angle formed with the ground looking to the top…

A:

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given, Building’s height = 290 feet Shadow’s length = 100 feet Person’s height = 5 feet

Q: From a boat on the lake, the angle of elevation to the top of a cliff is 29 degrees 4’. If the base…

A: Given that: Angle of elevation= θ =29°4' Base of the cliff = B = 380 feet To find H, the height of…

Q: To measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of…

A:

Q: a 24 foot ladder leaning against a building forms an 18 angle with the side of the building . how…

A:

Q: ramp has a height of 5.8 feet and an angle of 80°.  A sketch of the ramp is shown.   What is the…

A:

Q: The shadow of a red-pine tree in Northern Minnesota is 131 feet long when the angle of depression…

A: Given: The red-pine tree AB with its shadow BC = 131 ft. The angle of depression is 31o.

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Let 'x' be the length of the building from three floors The full length of the building across the…

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A:

Q: person standing 397 feet from the base of a church observed the angle of elevation to the church's…

A: A person standing 397 feet from the base of a church observed the angle of elevation to the church's…

Q: A ladder leaning against the wall makes an angle of 74 with the ground. If the foot of the ladder is…

A: Since, a ladder is leaning against the waall making an angle of 74° withthe ground.Alos, we have…

Q: A 14 foot ladder is leaning against a wall of a house make a 58 degree angle with the wall how far…

A:

Q: As shown in the figure below, Isabel is standing 29 feet from the base of a leaning tree. The length…

A:

Q: At a distance of 1000 miles from a tower, the angle of elevation to the top of the building is 36°.…

A: Consider the given information. Make the graph from the given information.

Q: A surveyor standing 69 meters from the base of a building measures the angle to the top of the…

A: see below the answer

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Given  Angle of elevation from ground floor to top of the building = 49° Angle of elevation from…

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

A: We will use trigonometry for solving this problem

Q: measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of the…

A: Let the height of the stone​ face is AB=h and the angle of elevation to the bottom of the face is…

Q: and

A:

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A:

Q: how many meters above the ground is the balloon if there is no stack on the cable?

A:

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: for the triangle ABE, use the tan function  tan31=xy y=xtan31

Q: To find the height of a building, a person measures the angle of elevation to the top of the…

A:

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: A detailed solution is given below.

Q: A radio tower is located 325 feet from a building. From a window in the building, a person…

A:

Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

A: Consider the ladder is the hypotenuse of the triangle that is 20 ft. The angle between the ladder…

Q: From the top of a 156 foot lighthouse, the angle of depression to a ship in the ocean is 40°. How…

A:

Q: A person standing 206 feet from the base of a church observed the angle of elevation to the church's…

A: Given:    x = 206 feet     θ = 39°

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.