Question

Two people are standing on opposite sides of a hill. Person A makes an angle of elevation of 65° with the top of the hill and person B makes an angle of elevation of 80° with the top of the hill. The two people are standing 45 feet from each other.

Answer 1

Answer:

71

Step-by-step explanation:

Answer 2

The rest of the question is as following
What is the distance from person B to the top of the hill?
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Answer;
The attached figure represents the explanation of the problem.
So, it is required to find the distance BH
It will be calculated as following
∠A = 65°  and ∠B = 80°
∴ ∠H = 180° - (65° + 80° ) = 35°
But the side AB = 45
So, we can use the sine rule to find the side BH
$\frac{AB}{sin \ H} = \frac{BH}{sin \ A}$
$BH = \frac{sin \ A}{sin \ H} * AB$
$BH = \frac{sin \ 65}{sin \ 35} * 45$

∴ BH ≈ 71.1  feet

∴ The distance from person B to the top of the hill ≈ 71.1 feet