NAME ______________________________________________ DATE______________________________ PERIOD ______________

4-1 Worksheet 2: Word Problems Right Triangle Trigonometry

Example. At a point on the ground 65 feet from a tall flagpole, the angle of elevation to the top of the flagpole is 52°. What is the height of the flagpole, rounded to the nearest foot?

1. A kite flying in the air has a 91-foot line attached to it, and the line is pulled taut. The angle of elevation of the kite is 63 °. Find the height of the kite.

2. Scott Furkis was trying to figure out the height of a tree. He determined that the angle of elevation to the height of the tree was 35 °. He measured his distance from the base of the tree and found it to be 10 feet. What is the height of the tree?

3. A camper is hiking and is standing on top of a 400 foot cliff enjoying the view. He looks down and views a bear at a 37 ° angle of depression. How far is the bear from the base of the cliff? Round your answer to the nearest foot.

(Draw the picture here)

4. A 30-foot ladder leaning against the side of a house makes a 70.1° angle with the ground.

Chapter 4 8 Glencoe Precalculus

NAME ______________________________________________ DATE______________________________ PERIOD ______________

a. How far up the side of the house does the ladder reach?

b. What is the horizontal distance between the bottom of the ladder and the house?

5. A group of hikers on a camping trip climb to the top of a 1500-foot mountain. When the hikers look down at an angle of depression of 36°, they can see the campsite in the distance. What is the horizontal distance between the campsite and the group to the nearest foot?

6. Suppose you want to construct a ramp for skateboarding with a 19° incline and a height of 4 feet.

a. Draw a diagram to represent the situation.b. Determine the length of the ramp.

7. p.228 problem 55

8. p.229 problem 76, 78.

9. Solve the following equation, round to the nearest thousand.

a) e5x=24 b )2ex−7−6=0

Chapter 4 6 Glencoe Geometry