Question

Picture is not drawn to scale.

Answer 1

Answer:

142 yards.

Step-by-step explanation:

See the attached diagram.

Let the reservoir is AC and Howard is standing at B and AB = 91 yards.

Now, the angle of elevation from B to the top of the reservoir C is 50°.

Then using trigonometry, $\cos 50 = \frac{AB}{BC} = \frac{91}{BC}$

⇒ $BC = \frac{91}{\cos 50} = 141.57$ ≈ 142 yards.

Therefore, the distance of Howard from the top of the reservoir is 142 yards. (Answer)