Question 1 John's window is 20 m high and Sam's window is 25 m high above the street level. The angle of elevation from John's window to Sam's window...

John's window is 20 m high and Sam's window is 25 m high above the street level. The angle of elevation from John's window to Sam's window is 15 degrees. The angle of depression from the top of John's building to the Sam's window is 20 degree. Find the width of street between the buildings.

Question 1 options:

19 m

34m

77m

23m

Two observers are on the same sides of a tower. One finds the elevation of the tower to be 30°, and the other finds 45°. The two observers are 100 metres apart, and along a straight line with the tower (Both observers and the tower stand on level ground). What is the height of the tower? choose the nearest answer from the followings (in metres) .

Question 2 options:

140

110

170

200

Calculate the angle of elevation measured from a point on the ground to a tree with height 50 m that is 20 m away from the tree.

Question 3 options:

60 degrees

67 degrees

68.2 degrees

80 degrees

A ladder 16 m long makes an angle of 53 degrees with the ground as it leans against a wall. How far up the wall does the ladder reach?

Question 4 options:

19m

7m

13 m

18 m

In a right triangle with acute angle θ, the length of the side opposite to θ is 3.5 and the length of the side adjacent to θ is 1.2. What is csc(θ) rounded to three decimal places?

Question 5 options:

0.946

3.251

1.057

0.325

An observer observes a ship from two observation windows of a observation tower, one 8 m above the other. From the upper window the angle of depression is 35 degrees and from the lower window the angle of depression is 26 degrees. How far is the boat from the foot of the observation tower.

Question 6 options:

50m

45m

38 m

73 m

In a right triangle with acute angle θ, the length of the side opposite to θ is 3.0 and the hypotenuse side is 5.0. What is cos(θ)? Choose the nearest from the followings

Question 7 options:

0.6

0.8

0.7

0.5

What is 1.115 degrees in DMS notation?

Question 8 options:

1°7'55''

1°6'54''

1°6'55''

1°7'54''

If sin(θ) = 0.50, which of the followings is the nearest to the value of angle θ?

Question 9 options:

60°

30°

15°

45°

A person on an 100 m high observation tower measures the angle of depression of a boat to be 20 degrees. How far is the boat from the foot of the tower?

Question 10 options:

100m

230m

275 m

200m