Free Printable Trig Quiz 2 2/26

1.

A 20 foot ladder rests against a wall. The ladder makes a 55˚ angle with the ground. How far from the wall is the base of the ladder? (HINT: Draw a picture!)

a)

11.5 ft

b)

16.4 ft

c)

28.6 ft

d)

34.9 ft

2.

What is a major difference between the equation you set up for missing sides versus the equation you set up for missing angles?

a)

When you have missing sides you would use $\sin x$ and when you have missing angles you would use $\sin^{-1}x$ .

b)

When you have missing sides you would use $\sin^{-1}x$ and when you have missing angles you would use $\sin x$ .

c)

When you have missing sides you would use $\sin x$ and when you have missing angles you would also use $\sin x$ .

d)

When you have missing sides you would use $\sin^{-1}x$ and when you have missing angles you would also use $\sin^{-1}x$ .

3.

The reference angle of a right triangle is 37˚. The opposite side is 3, the adjacent side is 4, and the hypotenuse is 5. Which of the following is NOT true?

a)

$\sin37\degree=\frac{3}{5}$

b)

$\cos37\degree=\frac{4}{5}$

c)

$4\tan37\degree=3$

d)

$\frac{4}{\cos37\degree}=5$

e)

$\tan37\degree=\frac{4}{3}$

4.

What is $\cos\theta$ ?

a)

$\frac{4}{5}$

b)

$\frac{3}{5}$

c)

$\frac{3}{4}$

d)

$\frac{5}{4}$

e)

$\frac{5}{3}$

5.

What is the value of x?

a)

6.8

b)

13.3

c)

7.6

d)

16.8

6.

What is the value of x?

a)

20.0

b)

24.4

c)

17.1

d)

11.5

7.

What is the missing angle?

a)

15˚

b)

75˚

c)

44˚

d)

1˚

8.

a)

48˚

b)

42˚

c)

65˚

d)

25˚

9.

In a right triangle, a 50˚ angle is opposite of 7. What is the hypotenuse? (HINT: Draw the triangle!)

a)

9.1

b)

5.4

c)

10.9

d)

5.9

10.

In a right triangle, one of the angles (not the 90˚) is adjacent to 5 and opposite of 12. The hypotenuse is 13. What should I plug into my calculator to find that specific angle?

a)

$\tan\left(\frac{12}{5}\right)$

b)

$\tan\left(\frac{5}{12}\right)$

c)

$\tan^{-1}\left(\frac{5}{12}\right)$

d)

$\tan^{-1}\left(\frac{12}{5}\right)$

Trig Quiz 2 2/26

Total questions: 10

Worksheet time: 3hrs 30mins

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