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Geom453 Applications of Trig Functions

Last updated almost 5 years ago

8 questions

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Question 1

1.

A hot air balloon hovers 75 feet above the ground. The balloon is tethered to the ground with a rope that is 125 feet long. At what angle of elevation, E, is the rope attached to the ground? Round your answer to the nearest whole number.

Question 2

2.

Find the height of the tree. Round your answer to the nearest foot.

Question 3

3.

In the diagram below, x represents the length of the ladder that is leaning against a wall of a building, and y represents the distance from the foot of the ladder to the base of the wall. The ladder makes a 60 degree angle with the ground and reaches a point on the wall 17 feet above the ground.

Find the length of the ladder (x). Round to the nearest tenth.

Question 4

4.

In the diagram below, x represents the length of the ladder that is leaning against a wall of a building, and y represents the distance from the foot of the ladder to the base of the wall. The ladder makes a 60 degree angle with the ground and reaches a point on the wall 17 feet above the ground.

Find the distance from the base of the ladder to the building (y).

Question 5

5.

A hot air balloon is tied to the ground with two taught (straight) ropes, as shown in the diagram below. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 50 degrees with the ground. Determine the distance on the ground between the two ropes. Round to the nearest foot.

Question 6

6.

The tailgate of a truck is 2 feet above the ground. The incline of a ramp used for loading the truck is 11 degrees, as shown below. Find the length of the ramp to the nearest foot.

Question 7

7.

A flagpole that is 45-feet high casts a shadown along the ground that is 52-feet long. What is the angle of elevation, A, of the sun? Round your answer to the nearest degree.

Question 8

8.

A nursery plants a new tree and attachs a guy wire to help support the tree while its roots take hold. An 8 foot wire is attached to the tree at a point 6 feet from the ground. What is the angle of elevation the guy wire makes from the stake in the ground? Round your answer to the nearest whole degree.