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, [tex]\cos 50 = \frac{AB}{BC} = \frac{91}{BC}[/tex]
⇒ [tex]BC = \frac{91}{\cos 50} = 141.57[/tex] ≈ 142 yards.
Therefore, the distance of Howard from the top of the reservoir is 142 yards. (Answer)
