Height of a Building The angle of elevation from the top of a small building to the top of a nearby taller building is 46° 40', and the angle of depression to the bottom is 14° 10'. If the shorter building is 28.0 m high, find the height of the taller building. 46° 40 14 10 128.0 m

Height of a Building The angle of elevation from the top of a small building to the top of a nearby taller building is 46° 40', and the angle of depression to the bottom is 14° 10'. If the shorter building is 28.0 m high, find the height of the taller building. 46° 40 14 10 128.0 m

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.CR: Chapter Review

Problem 80E: Height of a Building From a point A on the ground, the angle of elevation to the top of a tall...

See similar textbooks

Related questions

Q: angles elevation to the top og the builing from a point on the round 50 yards from its base is 50…

A: First draw a rough sketch of the building with height h and the elevation angle of 50 degree as…

Q: angle of elevation from point A on the ground to the top of a 225-foot cell phone tower is 65°.…

Q: he angle of a depress from a lighthouse to a boat in the water 14 degrees. If the boat is 532 feet…

Q: A boat is heading towards a lighthouse, whose beacon-light is 107 feet above the water. From point…

A: Let's find.

Q: angle of elevation for my point on the ground to the top of the tower is 35° 16 minutes. The angle…

A: Given query is to find the height of the tower.

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 71°, and the top…

A: The angle of elevation of the ladder (say o ) = 71° distance between top of the ladder above the…

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 64°, and the top…

Q: Height of a Building The angle of elevation to the top of theEmpire State Building in New York is…

A: Suppose that: The height of the Empire State Building = x Note: 1 mi = 5280…

Q: A water tower 30 m tall is located at the top of a hill. From a distance of D = 115 m down the hill…

A: Given A water tower 30 m tall is located at the top of a hill. From a distance of D = 115 m down the…

Q: communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

Q: As shown in the figure below, Jane is standing 91 feet from the base of a leaning tree. The tree is…

Q: 9). . building from a point on the ground is 37°. If the building is 230 meters tall, how far, to…

Q: 3. A building is 50 ft. high. At a distance away from the building, an observer notices that the…

A: We draw the figure as Here AB is the building and AB=50 ft, O is the observer and angle of…

Q: Height of a Building The angle of elevation from the top of a small building to the top of a nearby…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A kite string is 200 meters long. Find the height of the kite if the string makes an angle of…

Q: The radius of a circle is 8 inches. Find the number of radians in the central angle of the circle…

Q: An aircraft is scheduled to fly from A to B, a distance of 600 km. Owing to bad weather, it is…

Q: Angle of Elevation A man standing near a radio station antenna observes that theangle of elevation…

A: Given: A man standing near a radio station antenna observes that the angle of elevation to the top…

Q: A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8o when…

Q: A pine tree growing on a hillside makes a 76°angle with the hill. From a point 83 feet up the hill,…

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 67°, and the top…

A: The angle of elevation of the ladder is 67° top of the ladder is 15 ft

Q: From the top of a 230 ft lighthouse, the angle of depression to a ship in the ocean is 21 degrees.…

Q: Radio Antenna: A guy wire is attached to the top of a radio antenna and to a point on horizontal…

Q: An observer is standing in a lighthouse 96 feet above the level of the water. The angle of…

A: An observer standing at a height of 96ft on a light house The angle of depression of the buoy is…

Q: 9. HEIGHT OF A TREE To determine the height of a tree, Terry paced 15 feet back from the base. She…

Q: from the top of an apartment building the angle of depression to a car parked on the street below is…

A: By the given information we can construct triangle as below : Given Data : AB=90 feet∠CAD=32°

Q: A 16 ft ladder leans agalnst the side of a house. The top of the ladder Is 15 ft off the ground.…

Q: Height of Cloud Cover To measure the height of the cloud cover at an airport, a worker shines a…

Q: Height of a Building A man standing on the roof of a building 60.0 feet high looksdown to the…

A: Let AB = First building, CD = building next door and BD = distance between them.

Q: boat heading out to sea starts out at Point A, at a horizontal distance of 1390 feet from a…

A: We will use trigonometric Ratio to solve this.

Q: 8. A vertical pole is 10 m tall. A cable is connected from the top of the pole to a point on the…

A: Use the basic trigonometry and find x

Q: A ladder leans agalnst the slde of a house. The angle of elevation of the ladder Is 61°, and the top…

A: Given that the angle of elevation of the ladder is 61° and the top of the ladder is 13 ft above the…

Q: A cable runs from the top of a building to a point on he ground 66.5 feet from the base of the…

A: Let the height of the building be 'h' and the length of the cable be 'l' For a right triangle, tanθ…

Q: wheel of diameter 6.00 m travels a distance of 31.6 m. Find the angle θθ (in radians) that the…

Q: ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall. The ladder makes…

A: We will use trigonometric ratios in a right triangle to answer this.

Q: A child is holding the end of a 38 meter string attached to a kit. The string has an angle of…

A: Given, A child is holding the end of a 38 meter string attached to a kit. The string…

Q: A 15 ft ladder leans against the side of a house. The top of the ladder is 13 ft off the ground.…

A: Given that a 15 ft ladder leans against side of a house. The top of the ladder is 13 ft off the…

Q: The angle of elevation to the top of a building in New York is found to be 19 degrees from the…

Q: Diameter of the Sun If the distance to the sun is approximately 93 million miles, and, from the…

A: Given: If the distance to the sun is approximately 93 million miles, and, from the earth, the sun…

Q: You are on level ground in the late afternoon. The Sun is at angle of elevation of 23 degrees . A…

Q: A ramp is to be built beside the steps to the campus library. Find the angle of elevation of the…

Q: A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder…

Q: 36. Height of an Antenna Tower The angle of elevation from the top of a building 45.0 ft high to the…

A: Explanation: Suppose height of the tower is h from the ground.…

Q: From a point on level ground the angle of elevation of the top of the CN tower is measured and found…

A: use trigonometric identity

Q: A 90-foot rope from the top of a tree house to the ground forms a $45\degree$45° angle of…

Q: How tall is the building across the street? (Round to the nearest foot.)

A: Follow the procedure given below.

Q: Angle of Elevation A woman entering an outside glass elevator on the ground floorof a hotel glances…

Q: A boat is heading towards a lighthouse, where Easton is watching from a vertical distance of 115…

Q: Angle of Elevation From a point on the ground, a person notices that a 110-footantenna on the top of…

A: Given Angle of Elevation From a point on the ground, a person notices that a 110-foot antenna on the…

Q: The sun is directly overhead. The shadow of the balloon falls 14 feet 6 inches from the tether.…

Question

Height of a Building The angle of elevation from the top of a small building to
the top of a nearby taller building is 46° 40', and the angle of depression to the
bottom is 14° 10'. If the shorter building is 28.0 m high, find the height of the
taller building.
46° 40
14° 10'
[28.0 m
3.

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 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Height of a Flagpole Two people decide to estimate the height of a flagpole. One person positions himself due north of the pole and the other person stands due cast of the pole. If the two people are the same distance from the pole and 25 feet from each other, find the height of the pole if the angle of elevation from the ground to the top of the pole at each persons position is 56 (Figure 21). Figure 21
The Learning Tower of Pisa The bell tower of the cathedral in Pisa, Italy, leans 5.6 from the vertical. A tourist stands 105 m from its base, with the tower leaning directly toward her. She measures the angle of elevation to the top of the tower to be 29.2. Find the length of the tower to the nearest meter.
Height of a Tree An ecologist wishes to find the height of a redwood tree that is on the other side of a creek, as shown in Figure 19. From point A he finds that the angle of elevation to the top of the tree is 10.7. He then walks 24.8 feet at a right angle from point A to point B. There he finds that the angle between AB and a line extending from B to the tree is 86.6. What is the height of the tree? Figure 19
Angle of Elevation A man standing near a building notices that the angle of elevation to the top of the building is 64. He then walks 240 ft farther away from the building and finds the angle of elevation to the top to be 43. How tall is the building?
Length of a Guy Wire A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hills is 58. A guy wire is to be attached to the top of the tower and to the ground, 100 m downhill from the base of the tower. The angle in the figure is determined to be 12. Find the length of the cable required for the guy wire.
Height of Cloud Cover To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle 75 from the horizontal. An observer 600 m away measures the angle of elevation to the spot of light to be 45. Find the height h of the cloud cover.
Leaning Windmill After a wind storm, a farmer notices that his 32-foot windmill may be leaning, but he is not sure. From a point on the ground 31 feet from the base of the windmill, he finds that the angle of elevation to the top of the windmill is 48. Is the windmill leaning? If so, what is the acute angle the windmill makes with the ground?
Circumference of the Earth The Greek mathematician Eratosthenes ca.276-195 B.C. measured the circumference of the earth from the following observations. He noticed that on a certain day the sun shone directly down a deep well in Syene modern Aswan. At the same time in Alexandria, 500 miles north on the same meridian, the rays of the sun shone at an angle of 7.2 to the zenith. Use this information and the figure to find the radius and circumference of the earth.
Radius of the Moon As viewed from the earth, the angle subtended by the full moon is 0.518. Use this information and the fact that the distance AB from the earth to the moon is 236,900 mi to find the radius of the moon.
Distance to the moon To find the distance to the sun as in Exercise 67, we needed to know the distance to the moon. Here is a way to estimate the distance When the moon is seen at its zenith at a point A on the earth, it is observed to be at the horizon from point B see the following figure. Points A and B are 6155 mi apart, and the radius of the earth is 3960 mi. a Find the angle in degree. b Estimate the distance from point A to the moon.
Height of a Building From a point A on the ground, the angle of elevation to the top of a tall building is 24.1. From a point B, which is 600 ft closer to the building, the angle of elevation is measured to be 30.2. Find the height of the building.
Height of a Tower A water tower is located 325 ft from a building see the figure. From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39 and that the angle of depression to the bottom of the tower is 25. How tall is the tower? How high is the window?