Free Printable Trigonometric ratio form 3

1.

Diagram shows a right-angled triangle.
find $\sin\theta-\tan\theta=$

a)

$\frac{5}{4}-\frac{5}{3}$

b)

$\frac{3}{5}-\frac{4}{5}$

c)

$\frac{3}{\sqrt{34}}-\frac{5}{\sqrt{34}}$

d)

$\frac{5}{\sqrt{34}}-\frac{5}{3}$

2.

Diagram shows a right-angled triangle PQR.

Which of the following represents cos P?

a)

$\frac{QR}{PQ}$

b)

$\frac{QR}{PR}$

c)

$\frac{PQ}{PR}$

d)

$\frac{PR}{PQ}$

3.

Which of the angles A, B, C and D has a tangent value equal to 0.75?

a)

A

b)

B

c)

C

d)

D

4.

Diagram shows a building of 30m high. The angle of elevation from the top of the building as seen from a point , P on the ground is $56\degree$ . Find the distance, in m, between point P and the ground floor of the building, Q.

a)

16.78

b)

20.24

c)

44.48

d)

49.42

5.

The height of a hill is 62m. Given that the angles of depression of two boats from the top of the hill are $54\degree\ and\ 27\degree$ respectively. If the boats are rowing along the same track, find the distance, in m, between the two boats.

a)

13.98

b)

53.75

c)

76.64

d)

121.68

6.

In a right-angled triangle PQR, given that $PQ=x\ cm,\ QR=y\ cm,\$ $PR=116\ cm\ and\ \angle QPR=75\degree$ . Find the possible values of x and y.

a)

x = 30.02, y = 112.05

b)

x = 112.05, y = 30.02

c)

x = 120.09, y = 448.19

d)

x = 448.19, y = 120.09

7.

Given the figure, solve for the missing value of n. Round your answer to the nearest hundredth (2 decimal places).

a)

n = 21.65 meters

b)

n = 50.00 meters

c)

n = 14.43 meters

d)

n = 12.5 meters

8.

Given the figure, what is the trigonometric ratio for cos(A)? Give your answer as a REDUCED FRACTION!

a)

$\cos A=\frac{24}{30}$

b)

$\cos A=\frac{4}{5}$

c)

$\cos A=\frac{3}{5}$

d)

$\cos A=1$

9.

Find length of AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

10.

Choose the correct ratio.

a)

sinZ=5/13

b)

sinX=5/13

c)

cosX=13/12

d)

tanZ=12/5

Trigonometric ratio form 3

Total questions: 10

Worksheet time: 32mins

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