Free Printable Gp's Hub - Application or Trig(Angles of E and D) Grade 8

1.

In a right triangle, hypotenuse is 10 cm long and an acute angle is 30°. What is the length of the side opposite to this angle?

a)

5 cm

b)

5√2 cm

c)

10 cm

d)

None of the above

2.

The length of the shadow of a 4 m high vertical pole on the level ground at an instant when the sun elevation is 60° is___

a)

2 m

b)

4√3 m

c)

4⁄√3 m

d)

4 m

3.

The ratio of the length of the pole and its shadow is 1 : √3. The angle of elevation of the sun is ____

a)

30°

b)

60°

c)

45°

d)

90°

4.

The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled then the angle of elevation of the top will be_____

a)

No change: 30°

b)

Will be doubled : 60°

c)

will become 45°

d)

None of the above

5.

What is the correct equation?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

6.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

7.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

8.

What is tan(A)

a)

X / Y

b)

Y / X

c)

Z / Y

d)

X/ Z

9.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

10.

Which scenario describes the picture shown?

a)

A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?

b)

A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?

c)

An 8 foot ramp leans

against a building 5 feet away. What angle does the ramp make with the ground?

d)

A 5 foot man is 8 feet away from a building. What is the angle of elevation?

11.

find the height(h)?

a)

$1000\sqrt{3}$

b)

$500\sqrt{3}$

c)

2000

d)

500

12.

A 1.5m tall boy stands at a distance of 45 m from a tower. The angle of elevation from his eyes to the top of the tower is 30 degrees . Find the height of the tower.

a)

$\left(1.5\ +\ 15\sqrt{3}\right)\ m$

b)

$15\sqrt{3}\ m$

c)

$\left(15\sqrt{3}\ -\ 1.5\right)m$

d)

46 m

13.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

14.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

15.

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?

a)

1.2 m

b)

28.9 m

c)

6.1 m

d)

28.2 m

16.

The angle of 12^o is a(n)

a)

angle of elevation

b)

angle of depression

c)

neither

d)

both

17.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

18.

Is the given angle of 70 degrees, an angle of elevation or an angle of depression?

a)

Angle of Elevation

b)

Angle of Depression

c)

Neither

d)

Both

19.

The ∠ of elevation and ∠ of depression represent which angle pair formed by parallel lines cut by a transversal?

a)

corresponding ∠'s

b)

alt. ext. ∠'s

c)

alt. int. ∠'s

d)

vertical ∠'s

20.

A tree casts a 75 foot shadow. The angle of elevation from the ground to the top of the tree is 40 degrees. How tall is the tree?

a)

62.9 ft

b)

48.2 ft

c)

57.5 ft

d)

none of the above

Gp's Hub - Application or Trig(Angles of E and D) Grade 8

Total questions: 20

Worksheet time: 15mins

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