Trig Word Problems

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? (Note: Round to the nearest whole number.)

• 66 degrees

• 80 degrees

• 30 degrees

• 19 degrees

A 32-foot ladder leaning against a building touches the side of the building 26 feet above the ground. What is the measurement of the angle formed by the ladder and the ground? (Note: Round to the nearest whole number.)

A kite is held by a string pegged to the ground. The string is 40 feet long and makes a 33˚ angle with the ground. Supposing that the ground is level, find the vertical distance from the ground to the kite. (Note: Round to 1 decimal place.)

• 33.5

• 21.8

• 26.0

• 7.0

You are standing at the edge of a tree's shadow. The length of the shadow of the tree is 20 feet ND the angle of your viewpoint to the top of the tree is 40°. How tall is the tree? (Note: Round to 1 decimal place.)

The top of a lighthouse is 120 meters above sea level. The angle from the boat to the top of the lighthouse is 23°. How far is the boat from the lighthouse? (Note: Round to 1 decimal place.)

A wire anchored to the ground braces a 17 foot pole. The angle the wire makes with the ground is 56°. What is the length of the wire? (Note: Round to 1 decimal place.)

• 20.5 ft.

• 18.7 ft.

• 22.4 ft.

• 21.8 ft.