Similar Triangles and Right Triangles

A ramp is used to unload trucks. How high is the end of 25-foot ramp when it forms an angle of 30 degrees with the ground? What if the angle is 450?

• 12 1/2 feet

• 12 1/2 squre root of 3 feet

• 50 feet

• 13 feet

A boy whose height is 5 ft. casts a shadow of 4 ft. He is standing beside the

flagpole that casts a shadow of 7 ft. How tall is the flagpole?

• 8 ft.

• 8 1/4 ft.

• 8 1/2 ft.

• 8 3/4 ft.

A giraffe is 210 in tall casts a shadow of 135 in. Ana casts a shadow of 45 in.

How tall is Ana?

• 68 inches

• 70 inches

• 72 inches

• 74 inches

A boy 150 cm casts a shadow that is 90 cm long. The end of his shadow

coincides with the end of the shadow cast by a lamp post 330 cm from the boy.

How high is the lamp post?

• 500 cm

• 600 cm

• 700 cm

• 800 cm

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• (1)

• (2)

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• (4)

Triangle ABC can be taken to a triangle A'B'C' using rigid motions and a dilation. Select ALL the equations that are true.

Find the missing length indicated. Leave your answer in simplest radical form.

• 60

• 100

• 80

• 20

• A
• B
• C
• D