Trigonometry Word Problems

Front

Solve for the missing angle.

Back

36.9

Front

Solve for the missing distance. Options: 18.9, 19.5, 47, 27.5

Back

18.9

Front

Estimate the height of the tree using the diagram. Options: 63 ft, 65 ft, 74 ft, 87 ft

Back

87 ft

Front

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. What is the height of the lighthouse?

Back

45 feet

Front

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Options: 19 degrees, 45 degrees, 71 degrees, 138 degrees

Back

19 degrees

Front

Equation to find the measure of one acute angle in a right triangle.

Back

cosA = 9/14

Front

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

Back

10 feet

Front

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

Back

12 feet

Front

A building 62 feet tall casts a shadow 21 meters long. At what angle is the sun shining on the building?

Back

71.29

Front

A new pipeline is being created to shorten the distance from point A to point B. The original pipeline ran at a 90° angle with sides of 20 miles and 15 miles. The new pipeline goes straight from A to B. How much shorter will the new pipeline be?

Back

10