Chapter 9 Right Triangles

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.

What is the distance from the yacht to the top of the lighthouse?

• 25 feet

• 100 feet

• 184 feet

• 205 feet

A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall?

Round to the nearest degree.

• 68º

• 21º

• 42º

• 27º

A 30 ft. wire stretches from the top of a light pole diagonally to a stake in the ground that is 10 feet from the base of the light pole.

What is the angle the wire makes with the ground?

Round to the nearest degree.

• 71º

• 19º

• 18º

• 60º

Solve for x.

• 25º

• 65º

• 23º

• 30º

Solve the triangle.  Round sides to the nearest tenth and angles to the nearest degree.

Solve the triangle.
Round sides to the nearest tenth and angles to the nearest degree.

Solve for x.

Round to the nearest tenth.

• 103.5

• 4.7

• 55.0

• 23.4

Solve for x.

Round to the nearest tenth.

• 9.8

• 0.1

• 0.038

• 9.9

Classify a triangle with side lengths 20, 25, and 15.

• Acute

• Right

• Obtuse

• Equilateral

Aaron is flying a kite with 400 feet of string. The angle of the string with the ground is 54.4°. How high is Aaron’s kite above the ground?

• 325.2 feet

• 345.6 feet

• 350 feet

• 74 feet