5. Two obeserves Pand Q 15 m apart observe a kite in the same vertical plane and from the same side of
the kite. The angle of elevation of the kite from P and Q are
35° and 45°respectively. Find the height
ar the kite to the nearest metre.
(WAEC​

Approximately .

Step-by-step explanation:

In a right triangle, the tangent of an angle is the ratio between the length of the side opposite to this angle and the length of the side adjacent to this angle:

.

Let denote the height of this kite in meters.

Refer to the diagram attached. Let denote the point right below the kite in the same vertical plane as and . Denote the kite as .

The kite , observer , and point are the three vertices of right triangle , where .

In this right triangle, is the side opposite to , whereas is the side adjacent to .

Therefore:

.

.

.

Similarly, in right triangle , . In this right triangle, is the side opposite to , whereas is the side adjacent to .

.

.

The question states that observer and observer are on the same side of the kite. Hence, the horizontal distance between and would be the same as the difference between:

In other words:

.

.

.

Solve for :

.

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632