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Worksheets

2rawr

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.

Find the maximum possible perimeter

of an isosceles triangle whose two sides

are 10cm and 14cm.

a)

34

b)

36

c)

38

d)

40

2.

If tan x = 1/2, tan y = 1/3 what is the

value of tan (x + y)?

a)

1

b)

2/3

c)

2

d)

1/2

3.

Find the value of sin(arccos15/17).

a)

8/9

b)

8/21

c)

17/9

d)

8/17

4.

If sin A = 3.5x and cos A = 5.5 x, find

the value of A.

a)

52.37°

b)

42.47°

c)

32.47°

d)

22.47°

5.

Using the given data: determine the

value of x:

sin A= 2.571x : cos A= 3.064x :

a)

0.1

b)

0.25

c)

0.35

d)

0.150

6.

The expression: (1+sec𝑥) /(tan𝑥+sin𝑥) is equal to:

a)

sin x

b)

cos x

c)

sec x

d)

csc(x)

7.

Express 45 degrees angle in mils

a)

80

b)

800

c)

8000

d)

80 000

8.

Which of the following is a correct relationship for any triangle whose sides are a, b, c and the respective opposite angles are A, B, and C?

a)

a² = b²+c² - bc cos A

b)

a² = b²+c² - 2bc cos A

c)

a² = b²+c² - 2bc sin A

d)

a² = b²+c² - 2bc cosBcosC

9.

State the quadrant in which the coordinate (15, -12) lies

a)

III

b)

I

c)

II

d)

IV

10.

Given a triangle, C = 100 degrees, a = 15 , b = 20, find c.

a)

35

b)

27

c)

34

d)

43

11.

From a boat at sea, the angle of elevation of the top of the cliff is measured as 12 mils. if the cliff is known to be 90 m high, how far is the boat from the cliff.

a)

7639

b)

7050

c)

5700

d)

7005

12.

A flagpole 3 meters high stands on top of a pedestal 2 m high above the

ground. At a distance "x" meters from the base of the pedestal and on the

same horizontal plane of that of the pedestal, the flagpole and the pedestal

subtend equal angles. Find distance "x".

a)

4.44 m

b)

6.71 m

c)

5.67 m

d)

4.47 m

13.

Points A and B are 100 m. apart and are of the same elevation as the foot of the bldg. The angles of elevation of the top of the building from points A and B are 21 degrees and 32° respectively. How far is A from the building in meters?

a)

158.62 m

b)

259.28 m

c)

345.41 m

d)

286.23 m

14.

In triangle XYZ, XY = 35m and YZ= 20. Compute the probable perimeter of the triangle.

a)

109

b)

110

c)

111

d)

112

15.

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

16.

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

a)

197.49

b)

218.61

c)

341.78

d)

282.15

17.

In triangle ABC, angle C = 70°, A = 45°, AB = 40. What is the length of the median drawn from the vertex A to side BC?

a)

33.3 m.

b)

35.3 m.

c)

34.3 m.

d)

36.3 m.

18.

The measure of 2.25 revolutions counter clockwise is

a)

-835°

b)

805°

c)

-810°

d)

810°

19.

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

a)

240

b)

420

c)

300

d)

320

20.

The sides of a triangle are 7, 8, 9. The area of the triangle is?

a)

24

b)

25.5

c)

26.8

d)

18.9

21.

Convert 5 radians to degrees measure.

a)

286⁰28'

b)

282⁰58'

c)

288⁰22'

d)

246⁰14'

22.

Find the area of the spherical triangle ABC. if A = 125°, B = 73°, C = 84° and r = 30m

a)

1539.20 m²

b)

1602.20 m²

c)

1748.90 m²

d)

1055.39 m²

23.

The area of a spherical triangle of radius 2 meter and angles 45, 50, and 100 degrees is ____________ .

a)

0.436 m²

b)

1.745 m²

c)

4π m²

d)

1.05 m²

24.

Victoria, British Columbia is located at (123°25`.0W, 48°31`.3N) while Toronto, Ontario is at (79°25`.3W, 43°51`.8N). Find the distance between the two in nautical mile.

a)

1687.66 n. mile

b)

1887.23 n. mile

c)

1778.92 n. mile

d)

1822.74 n. mile

25.

South Korea is located at (127°E, 37°N) while Manila is at (121°E, 14°N). If South Korea time is 2:00 pm, find Manila time.

a)

1:36PM

b)

1:30PM

c)

4:25PM

d)

2:26PM