13. A person flying a kite lets out 80 m of string. If the string makes an angle of 62° with the ground, how high is the kite? 14. A ladder 6 m long is leaning against a building. If the angle the ladder makes with the ground is 74°, how far is the foot of the ladder from the wall? 15. From a cliff 30 m high, a person sees a ship. If the distance between the person and the ship is 200 m, what is the angle of depression from the top of the cliff to the ship? 16. According to a safety code, the angle a ladder makes with the ground should be between 70° and 80°. A ladder 5.2 m long is leaning against a building. If its foot is 1.5 m from the wall, is it safe to climb the ladder?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter67: Analysis Of Trigonometric Functions
Section: Chapter Questions
Problem 9A: Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch...
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13. A person flying a kite lets out 80 m of string. If the string makes an angle of 62° with the ground, how high is
the kite?
14. A ladder 6 m long is leaning against a building. If the angle the ladder makes with the ground is 74°, how far
is the foot of the ladder from the wall?
15. From a cliff 30 m high, a person sees a ship. If the distance between the person and the ship is 200 m, what is
the angle of depression from the top of the cliff to the ship?
16. According to a safety code, the angle a ladder makes with the ground should be between 70° and 80°. A
ladder 5.2 m long is leaning against a building. If its foot is 1.5 m from the wall, is it safe to climb the ladder?
Transcribed Image Text:13. A person flying a kite lets out 80 m of string. If the string makes an angle of 62° with the ground, how high is the kite? 14. A ladder 6 m long is leaning against a building. If the angle the ladder makes with the ground is 74°, how far is the foot of the ladder from the wall? 15. From a cliff 30 m high, a person sees a ship. If the distance between the person and the ship is 200 m, what is the angle of depression from the top of the cliff to the ship? 16. According to a safety code, the angle a ladder makes with the ground should be between 70° and 80°. A ladder 5.2 m long is leaning against a building. If its foot is 1.5 m from the wall, is it safe to climb the ladder?
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