Unit 3 Review (Honors)

In a right triangle DEF, <E is a right angle and cos D = 1/4.

Which statement about triangle DEF must be true?

• sin D = 1/4

• tan D = 1/4

• tan F = 1/4

• sin F = 1/4

To the nearest degree, what is the measure of the indicated angle?

• 33

• 61

• 29

• 57

Find the value of a in the following diagram:

• 10.3

• 7.5

• 8.0

• 12.1

Ricardo is standing 75 feet away from the base of a building. The angle of elevation from the ground where Ricardo is standing to the top of the building is 32 degrees. What is the height of the building, the the nearest tenth of a foot?

• 46.8

• 63.6

• 39.7

• 55.5

A square has a diagonal length of 8ft.

What is the perimeter of the square?

• 16.0 ft

• 24.0 ft

• 22.6 ft

• 31.9 ft

What is the length of the diagonal of a square with an area of 25 cm²?

• 5√2 cm

• 7.9 cm

• 12.0 cm

• 25.0 cm

An equilateral triangle has an altitude of 12√3 in.

What is the area of the triangle?

• 98.6 in²

• 144.0 in²

• 216.0 in²

• 249.4 in²

In right triangle ABC, and A and angle B are complementary angles. The value of cos A = 5/13. What is the value of sin B?

• 5/13

• 12/13

• 13/12

• 13/5

What is the value of cos A?

• 3/5

• 3/4

• 4/5

• 5/3

In right triangle HJK, <J is a right angle and tan <H = 1. Which statement about triangle HJK must be true?

• sin H = 1/2

• sin H = 1

• sin H = cos H

• sin H = 1 / cos H