Special Right Triangles Word Problem

A ladder is leaning against a wall. The angle of elevation of the ladder is 60 degrees and the ladder is 10 feet long. How far is the base of the ladder from the wall?

• The base of the ladder is 8 feet from the wall.

• The base of the ladder is 15 feet from the wall.

• The base of the ladder is 5√3 feet from the wall.

• The base of the ladder is 10 feet from the wall.

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CCSS.HSG.SRT.C.8

What is the perimeter of the triangle?

• 16 + 8√2

• 8 + 8√2

• 24√2

• 24

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CCSS.3.MD.D.8

What is the measure of side c?

• 7

• 7/√2

• 7√2

• 14

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CCSS.8.G.B.7

If the length of the hypotenuse in this triangle is 7, find the length of the long side.

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CCSS.HSG.SRT.C.8

• A
• B
• C
• D

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CCSS.8.G.B.8

Find the value of x.

• 18

• 18√3

• 36√3

• 12

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CCSS.HSG.SRT.C.8

Find the value of y.

• 7

• 7√3

• 14√3

• (14√3)/3

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CCSS.HSG.SRT.C.8

I have been given the short leg in this 30-60-90 triangle. How do I find the long leg (y)?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by 2

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CCSS.HSG.SRT.C.8

Solve for x and y in the special right triangle.

• y = 4, x = 4√3

• y = 4√2, x = 4√2

• y = 4 x = 12

• y = 8/√3, x = 16/√3

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CCSS.HSG.SRT.C.8

Solve for x.

• x = 90º

• x = 60º

• x = 45º

• x = 30º

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CCSS.HSG.SRT.C.8