wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

TLA 2.1 Trigonometry

Total questions: 10

Worksheet time: 19mins

Name
Class
Date
1.

If sec2 A is 5/2, the quantity 1 – sin2 A is equivalent to?

a)

2.5

b)

1.5

c)

0.4

d)

0.6

2.

Solve for θ in the following equation: Sin 2θ = cos θ

a)

300

b)

450

c)

600

d)

150

3.

If sin x cos x + sin 2x = 1, what are the values of x?

a)

32.20, 69.30

b)

– 20.670, 69.30

c)

20.900, 69.10

d)

– 32.2, 69.30

4.

Find the value of sin (arc cos 15/17 ).

a)

8/11

b)

8/19

c)

8/15

d)

8/17

5.

A man standing on a 48.5 meter building high, has an eyesight height of 1.5 m from the top of the building, took a depression reading from the top of another nearby building and nearest wall, which are 50° and 80° respectively. Find the height of the nearby building in meters. The man is standing at the edge of the building and both buildings lie on the same horizontal plane.

a)

39.49

b)

35.50

c)

30.74

d)

42.55

6.

Points A and B 1000 m apart are plotted on a straight highway running East and West. From A, the bearing of a tower C is 32° W of N and from B the bearing of C is 26° N of E. Approximate the shortest distance of tower C to the highway.

a)

364 m

b)

374 m

c)

384 m

d)

394 m

7.

A man finds the angle of elevation of the top of a tower to be 30°. He walks 85 m nearer the tower and finds its angle of elevation to be 60°. What is the height of the tower?

a)

76.31 m

b)

73.31 m

c)

73.16 m

d)

73.61 m

8.

The two legs of a triangle are 300 and 150 m each, respectively. The angle opposite the 150 m side is 26°. What is the third side?

a)

197.49 m

b)

218.61 m

c)

341.78 m

d)

282.15 m

9.

The sides of a triangle are 195, 157 and 210, respectively. What is the area of the triangle?

a)

73,250 sq. units

b)

10,250 sq. units

c)

14,586 sq. units

d)

11,260 sq. units

10.

The sides of a triangle are 8, 15, and 17 units. If each side is doubled, how many square units will the area of the new triangle be?

a)

240

b)

420

c)

320

d)

200