Solving Word Problems with Trig

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun. (If in doubt, draw it out!)

• 34 degrees

• 56 degrees

• 72 degrees

• 15 degrees

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground? (If in doubt, draw it out!)

• 66 degrees

• 80 degrees

• 30 degrees

• 19 degrees

Sally is flying a kite at an angle of 41 degrees. If the kite is 10 feet up in the air, how long is the kite string? (If in doubt, draw it out!)

• 6.6 feet

• 10.3 feet

• 15.2 feet

• 20 feet

Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be? (If in doubt, draw it out!)

• 5.3 feet

• 2.8 feet

• 3.2 feet

• 11.3 feet

• 115 ft

• 143.4 ft

• 59.3 ft

• 92.2 ft

Round your answer to the nearest tenth.

• 1747.5 ft.

• 1319.3 ft.

• 1428.2 ft.

• 2747.5 ft.

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is closest to the height of the lighthouse? 

• 25 feet

• 45 feet 

• 110 feet 

• 135 feet 

Which equation is set up correctly to find the height (X) of the building?

do not include units in your answer!

Round your answer to the nearest tenth.

• 36.9^°

• 31.0^°

• 59.0^°

• 53.1^°