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Sever21 [200]
3 years ago
5

Picture is not drawn to scale.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0

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)

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