Question

When the angle of elevation of the sun is 70 degrees​,a telephone pole that is tilted at an angle of 8 degreesdirectly away from the sun casts a shadow 18feet long. Determine the length of the pole to the nearest foot.

Answer 1

Answer:

The length of the pole to the nearest feet = 36 ft

Step-by-step explanation:

Let the length of the pole be L

The image of this question is attached to this solution.

From the image,

The two other angles in the triangle formed by the stick, its shadow and the line of angle of elevation can be found.

The first angle to the right of angle of elevation = 90° - 8° = 82°

And the third angle can be found, using the sum of angles in a triangle.

Sum of angles in a triangle = 180°

The third angle = 180° - (70° + 82°) = 28°

Using the sine rule, we can then obtain the length of the pole.

Sine rule

(a/sin A) = (b/sin B) = (c/sin C)

For our question

(L/sin 70°) = (18/sin 28°)

L = (18 × sin 70°)/(sin 28°)

L = 36.03 ft = 36 ft