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

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CCSS.HSG.SRT.C.8

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

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CCSS.HSG.SRT.C.8

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

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CCSS.HSG.SRT.C.8

Solve for x.

• 25º

• 65º

• 23º

• 30º

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CCSS.HSG.SRT.C.8

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

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CCSS.HSG.SRT.C.8

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

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CCSS.HSG.SRT.C.8

Solve for x.

Round to the nearest tenth.

• 103.5

• 4.7

• 55.0

• 23.4

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CCSS.HSG.SRT.C.8

Solve for x.

Round to the nearest tenth.

• 9.8

• 0.1

• 0.038

• 9.9

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CCSS.HSG.SRT.C.8

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

• Acute

• Right

• Obtuse

• Equilateral

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CCSS.4.G.A.2

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

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CCSS.HSG.SRT.C.8