A support wire is attached to the top of a 20 m tall observation tower. If the support wire and the ground form an angle of 46 degrees, what is the length of the support wire, to the nearest tenth?
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Question 20
20.
What is the length of the support wire, to the nearest tenth?
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Question 21
21.
At a point 30 feet from the base of a tree, the angle formed with the ground looking to the top measures 53 degrees . Find, to the nearest foot, the height of the tree.
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Question 22
22.
What is the height of the tree, to the nearest foot,.
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Question 23
23.
The angle of elevation of the top of a flagpole from a point on the ground 30 meters from the base of the flagpole is 18 degrees. What is the height of the flagpole, to the nearest meter?
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Question 24
24.
What is the height of the flagpole, to the nearest meter?
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Question 25
25.
From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea is 23 degrees. Find, to the nearest foot, the distance from the boat to the foot of the lighthouse. (The foot of the lighthouse is at sea level.)
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Question 26
26.
Find, to the nearest foot, the distance from the boat to the foot of the lighthouse.
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Question 27
27.
You are a block away from a skyscraper that is 780 feet tall. Your friend is between the skyscraper and yourself. The angle of elevation from your position to the top of the skyscraper is 42°. The angle of elevation from your friend’s position to the top of the skyscraper is 71°. To the nearest foot, how far are you from your friend?
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Question 28
28.
To the nearest foot, how far are you from your friend?
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Question 29
29.
A ladder, 500 cm long, leans against a building. If the angle between the ground and the ladder is 57 degrees, how far from the wall is the bottom of the ladder? Round the answer to the nearest tenth.
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Question 30
30.
How far from the wall is the bottom of the ladder? Round the answer to the nearest tenth.
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Question 31
31.
A plane is flying at an elevation of 35, 000 feet within sight of the Gateway Arch in St. Louis, Missouri. The pilot would like to estimate her distance from the Arch. She finds that the angle of depression to a point on the ground below the arch is 22 degrees. What is the distance between the plane and the arch?
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Question 32
32.
What is the distance between the plane and the arch?