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.

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




∴ BH ≈ 71.1  feet

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