Question

TRIGNOMETRY:

Answer 1

Answer:

7.698 m

Step-by-step explanation:

From the question,

Faisal's distance to the flagpole = 30 m

angle of elevation of its top = 12.4°

angle of depression of its bottom = 2.1°

Thus, the height of the flagpole is divided into two parts. Let the upper part be represented by x and the lower part by y.

From the triangle of the upper part (elevation), we have;

tan 12.4° = $\frac{x}{30}$

x = 30 × tan 12.4°

 = 30 × 0.2199

 = 6.597 m

From the triangle of the lower part (depression), we have;

tan 2.1° = $\frac{y}{30}$

y = 30 × tan 2.1°

  = 30 × 0.0367

  = 1.101 m

The height of the flagpole = x + y

                                           = 6.597 + 1.101

                                           = 7.698 m

The height of the flagpole is 7.698 m.