Trigonometry Problems Worksheet
Instructions: In this assignment, you may assume that the unmarked angles that appear to be right angles are indeed so.

 

 

I. Use your calculator to approximate each length or angle measure correct to the

nearest tenth of a unit.

1. a ≈ __________ cm

 

2. c ≈ __________

 

 

 

 

 

 

3. mÐABD ≈ __________

ABCD is a rectangle.

 

 

 

4. DF ≈ __________ cm

 

 

 

 

5. x ≈ __________

 

 

 

 

6. H is the center of a circle with radius 8".

maJK = 54˚.

Find JK, the length of the chord.

 

 

 

 

II. For each problem, make a sketch, and label it with the given information. Then use your calculator to find the missing information, rounding each answer to the nearest tenth of a unit.

 

1. A monument 116 meters high casts a shadow 196 meters long.

Find the angle of elevation of the sun.

 

 

 

 

 

 

 

 

 

 

 

 

 

2. The angle of elevation from a ship to the top of a 40 meter lighthouse on the shore is 18°. To the nearest meter, how far is the ship from the shore?

 

 

 

 

 

 

 

 

 

 

 

3. Igor is flying a kite with 300 m of kite string out. His kite string makes an angle of 64° with the level ground. To the nearest meter, how high is his kite?

 

 

4. A triangular lot faces two streets which meet at an angle of 80˚. The sides of the lot facing the streets are each 150 feet long. Find the perimeter of the lot.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5. Juliet on her balcony 15 feet off the ground spots Romeo approaching on ground level. She uses her angle measuring device and finds his position to be 3° from the horizontal
(angle of depression = 3°). How far away is Romeo from the spot on the ground just below her balcony?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6. PQRS is a parallelogram, with PQ= 8" and QR =14". If mÐPQR = 72˚,

find the length of the altitude drawn from P to sQR.