Application of trigonometry

1.

Multiple Choice

30 sec

1 pt

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?

5 cm

5√2 cm

10 cm

None of the above

2.

Multiple Choice

30 sec

1 pt

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___

2 m

4√3 m

4⁄√3 m

4 m

3.

Multiple Choice

30 sec

1 pt

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

30°

60°

45°

90°

4.

Multiple Choice

30 sec

1 pt

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_____

No change: 30°

Will be doubled : 60°

will become 45°

None of the above

5.

Multiple Choice

1 min

1 pt

What is the correct equation?

sin 40 = w/28

cos 40 = w/28

tan 40 = w/28

sin 40 = 28/w

6.

Multiple Choice

30 sec

1 pt

Find side AB?

20 m

5 m

11.54 m

8.66 m

7.

Multiple Choice

2 mins

1 pt

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?

7.5 ft

15 ft

26 ft

30 ft

8.

Multiple Choice

45 sec

1 pt

What is tan(A)

X / Y

Y / X

Z / Y

X/ Z

9.

Multiple Choice

30 sec

1 pt

What is the correct ratio?

7/24

24/7

7/25

24/25

10.

Multiple Choice

30 sec

1 pt

Which scenario describes the picture shown?

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

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

An 8 foot ramp leans

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

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

11.

Multiple Choice

45 sec

1 pt

find the height(h)?

$1000\sqrt{3}$

$500\sqrt{3}$

2000

500

12.

Multiple Choice

45 sec

1 pt

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.

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

$15\sqrt{3}\ m$

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

46 m

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