A building at the foot of a hill is 15.6 m high. Find the height of the hill if the angle of depression of the top and foot of the building from the top of the hill is 32°06’ and 42°30’ respectively.

Q: A passenger lift runs 680 ft up the side of a mountain from the base to an exit station. If the…

A:

Q: At a point 200 feet from the base of a building, the angle of elevation to the bottom of a…

A:

Q: An observer is 120 ft from the base of a television tower, which is 150 ft tall. Find the angle of…

A: Given query is to find the angle of elevation.

Q: A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. 32 - 25 ft – If the…

A: Solution: The objective is to find the height of the tree

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: In a circle of radius 8 miles, the length of the arc that du tends a central angle of 1 radians is…

A:

Q: An airplane is flying 5000 feet above the ground. If the angle of depression to the airport runway…

A: Use tan theta to calculate ground distance

Q: An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of…

A: Given  Speed of airplane = 400 mph Altitude of airplane (at t=0 min) = 6.6mi Angle of descent = 2°

Q: A ski run on Giant Steps Mountain in Utah is 1475 m long. The difference in altitude from the…

A: From the diagram drawn:

Q: A student stands at point A and measures the angle of elevation to the top of a building at 30°. She…

A:

Q: A building is 429 feet tall and is positioned 900 feet inland from the shore. A person in a boat in…

A: According to questionA building is 429 feet tall and is positioned 900 feet inland from the Shore.…

Q: A ranger at the top of a fire tower observes the angle of depression to a fire on level ground to be…

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

Q: You are in a tall building and from your window you notice a window washer working on the building…

A:

Q: A hot-air balloon is flying at an altitude of 2685 feet. If the angle of depression from the pilot…

A:

Q: 3. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is…

A: As per our guidelines we are supposed to do only first question among multiple questions. To get the…

Q: Find the measure of the indicated angle to the nearest degree.

A:

Q: The angle of elevation to the top of a Building in New York is found to be 5 degrees from the ground…

A: From the given information, Angle of elevation of a Building from ground, θ=50 Distance from the…

Q: 3. Find the height of a tree if the angle of elevation of its top changes from 20° to 40° as the…

A:

Q: A kite flies at a height of 35 feet when 60 feet of string is out.If the string is in a straight…

A: We have, a kite flies at a height of 35 feet when 60 feet of string is out and the string is in a…

Q: A kite is flying at an angle of elevation of 43 degrees. Find the height of the kite if 37 ft of the…

A:

Q: Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft of…

A: Given, Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft…

Q: The angle between 0 and 2T in radians that is coterminal 26 ·T in radians is 9. with the angle |

A:

Q: From a point on level ground 30 yards from the base of a building, the angle of elevation is 38.7°.…

A:

Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

A:

Q: 1. From the top of a cliff 400 feet above sea level, the angle of depression of a boat out to sea is…

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: A man is standing on the ground, looking at the top of an 80-ft building. The angle of elevation is…

A:

Q: The angle of elevation to the top of a Building in New York is found to be 3 degrees from the ground…

A: Consider the below figure

Q: Find the height of a tower if the angle of elevation of its top is 68° and when seen from point P on…

A:

Q: The angle between 0 and 2T in radians that is coterminal 55 T in radians is 8 with the angle

A:

Q: A kite flies at a height of 30 feet when 65 feet of string is out. If the string is in a straight…

A: Given: A kite flies at a height of 30 feet when 65 feet of string is out. The figure gives the clear…

Q: From an airplane at an altitude (height) of 1200 m, the angle of depression to a rock on the ground…

A: Given,            From an airplane at an altitude (height) of 1200 m, the angle of depression to a…

Q: The height of an inaccessible cliff needs to be calculated. From a boat, which is 187 meters out…

A:

Q: An observer at the top of a skyscraper sights a tour bus at an angle of depression of 61 degrees.…

A:

Q: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

A: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

Q: A rectangular box has length 5 inches, width 18 inches, and a height of 13 inches. Find the angle…

A:

Q: A road is inclined at an angle of 6°. After driving 4600 feet along this road, find the driver's…

A:

Q: Two hikers set out in different directions froma marked tree on the Bruce Trail. The angle formed…

A: Given query is to find the distance between the hikers.

Q: A monument is 95 meters highAt an information booth, an observer notices the angle of elevation to…

A:

Q: A pole casts a shadow of 30 ft at one time and a shadow of 15 ft at a later time when the angle of…

A:

Q: From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is 5°.…

A: Given, From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation…

Q: A 75-ft tall masthead of a tugboat is located 45 ft. away from the bow. If the top of the masthead…

A:

Q: Find the measure of the indicated angle to the nearest degree

A:

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

A: Answer is in below step

Q: A building that is 225 feet tafl casts a shadow of various lengths as the day goes by. An angle of…

A:

Q: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

A:

Q: a person is standing on the roof of a building and is 34 feet away from the base of the building.…

A: The angles and the sides of a right triangle are related by using trigonometric functions.…

Q: A hot-air balloon is floating above a straight road. To calculate their height above the ground, the…

A: Given that a hot-air balloon is floating above a striaght road angles of depression are 21° and 23°…