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Illustrate and solve the problems. 1. A person at one end of a 230ft bridge spots the river's edge directly below the opposite end of the bridge and finds the angle of depression to be 57". How far below the bridge is the river? 2. The angle of depression from the top of a tower to a boulder on the ground is 38". If the tower is 25 meters high, how far from the base of the tower is the boulder? Round off your answer in nearest whole number. 3. A wire is attached to the top of the tower and to a point on the ground that is 35m from the base of the tower. If the wire makes a 65* angle with the ground, how long is the wire? Round off your answer to the nearest hundredths. 4. A ladder that is 20ft long is leaning against the side of a building. If the angle formed between the ladder and the ground is 75', how far is the bottom of the ladder from the base of the building? 5. A plane took off from a field and rose at an angle of 8* with the horizontal ground. As the plane flies over a water tower, it has covered a distance from the take off point of 2000ft. How far apart are the take off point and the water tower?

Illustrate and solve the problems. 1. A person at one end of a 230ft bridge spots the river's edge directly below the opposite end of the bridge and finds the angle of depression to be 57". How far below the bridge is the river? 2. The angle of depression from the top of a tower to a boulder on the ground is 38". If the tower is 25 meters high, how far from the base of the tower is the boulder? Round off your answer in nearest whole number. 3. A wire is attached to the top of the tower and to a point on the ground that is 35m from the base of the tower. If the wire makes a 65* angle with the ground, how long is the wire? Round off your answer to the nearest hundredths. 4. A ladder that is 20ft long is leaning against the side of a building. If the angle formed between the ladder and the ground is 75', how far is the bottom of the ladder from the base of the building? 5. A plane took off from a field and rose at an angle of 8* with the horizontal ground. As the plane flies over a water tower, it has covered a distance from the take off point of 2000ft. How far apart are the take off point and the water tower?

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Illustrate and solve the problems. 1. A person at one end of a 230ft bridge spots the river's edge directly below the opposite end of the bridge and finds the angle of depression to be 57". How far below the bridge is the river? 2. The angle of depression from the top of a tower to a boulder on the ground is 38". If the tower is 25 meters high, how far from the base of the tower is the boulder? Round off your answer in nearest whole number. 3. A wire is attached to the top of the tower and to a point on the ground that is 35m from the base of the tower. If the wire makes a 65* angle with the ground, how long is the wire? Round off your answer to the nearest hundredths. 4. A ladder that is 20ft long is leaning against the side of a building. If the angle formed between the ladder and the ground is 75', how far is the bottom of the ladder from the base of the building? 5. A plane took off from a field and rose at an angle of 8* with the horizontal ground. As the plane flies over a water tower, it has covered a distance from the take off point of 2000ft. How far apart are the take off point and the water tower?
Transcribed Image Text:Illustrate and solve the problems. 1. A person at one end of a 230ft bridge spots the river's edge directly below the opposite end of the bridge and finds the angle of depression to be 57". How far below the bridge is the river? 2. The angle of depression from the top of a tower to a boulder on the ground is 38". If the tower is 25 meters high, how far from the base of the tower is the boulder? Round off your answer in nearest whole number. 3. A wire is attached to the top of the tower and to a point on the ground that is 35m from the base of the tower. If the wire makes a 65* angle with the ground, how long is the wire? Round off your answer to the nearest hundredths. 4. A ladder that is 20ft long is leaning against the side of a building. If the angle formed between the ladder and the ground is 75', how far is the bottom of the ladder from the base of the building? 5. A plane took off from a field and rose at an angle of 8* with the horizontal ground. As the plane flies over a water tower, it has covered a distance from the take off point of 2000ft. How far apart are the take off point and the water tower?
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