Solve the problem.
-The angle of elevation from a point on the ground to the top of a tower is $35 ^ { \circ } 42 ^ { \prime }$. The angle of elevation from a point 152 feet farther back from the tower is $24 ^ { \circ } 30 ^ { \prime }$. Find the height of the tower. Round to the nearest foot.
A) $185 \mathrm { ft }$
B) $189 \mathrm { ft }$
C) $1894 \mathrm { ft }$
D) $200 \mathrm { ft }$

Question

Quizplus · Accepted Answer

Using trigonometry, the height can be calculated using the tangent of the angles and the difference in distances. Solving the equations gives approximately 189 ft.

Solve the Problem 35∘42′35 ^ { \circ } 42 ^ { \prime }35∘42′

Solve the Problem $35 ^ { \circ } 42 ^ { \prime }$