Solve the problem.
-John (whose line of sight is 6 ft above horizontal) is trying to estimate the height of a tall oak tree. He first measures the angle of elevation from where he is looking as 35°. He walks 30 feet closer to the tree and finds
That the angle of elevation has increased by 12°. Estimate the height of the tree rounded to the nearest whole
Number.
A) 67 ft
B) 86 ft
C) 61 ft
D) 90 ft

Question

Quizplus · Accepted Answer

The correct answer is A.Explanation:Let h be the height of the tree.In the first case, we have:tan 35° = h / (h + 30)In the second case, we have:tan 47° = h / (h - 30)Solving these two equations, we get:h = 67 ft

Solve the Problem. -John (Whose Line of Sight Is 6 Ft Above Horizontal)