Trigonometry Practice Problems

74

Determine the angle

37

Determine the angle

8.8

Determine the side length

30

Determine the side length

9.6

Determine the side length

14.4

Determine the side leng

0.5333

0.8

0.9756

14.8

26

The length of the shadow of a building 34.09 m tall is 37.62 m. Find the angle of elevation of the sun?

42 degrees

You are 125 feet from a rock and see a bird at an angle of elevation of 35 degrees. The bird is directly above the rock. If the height of your eye is 5 feet, what is the height of the bird?

92.53 feet

Find the angle of depression from the top of a lighthouse 250 ft above water level to the water line of a ship 2.5 miles offshore.

1.085 degrees

A ski slope on a mountain has an angle of elevation of 25.2 degrees. The vertical height of the slope is 1808 feet. How long is the slope to the nearest foot?

4246 feet

An airplane flying at 600 miles per hour has a bearing of N52E. After flying 1.5 hours, how far north has the plane traveled from the point of departure to the nearest mile?

554 miles

A plane is 160 miles north and 85 miles east of the Louisa airport. The pilot wants to fly directly to the airport. How far will he have to fly?

181.18 miles

A ramp 20 feet in length rises to a loading platform 3.75 feet off the ground. Approximate the angle of elevation of the ramp to the nearest degree.

11 degrees

A flower garden the shape of a right triangle has a base length of 11.2 feet and a hypotenuse of 17.5 feet. What is the area of this flower bed?

75.3 ft²

A six foot tall man casts a 10.6 foot shadow. The angle of elevation of the sun is ______ degrees.

30