Question

Tamara is standing 52 feet from Mayfield High School’s flagpole. Using a clinometer, Tamara measures an angle of 12.3° to the top of the pole. The height of Tamara’s eye is 5.1 feet. How tall is the flagpole?
*Sketch the situation, write an equation, and solve.

Answer 1

Flagpole's tall = 16.438 feet

Further explanation

Given

Tamara-flagpole distance=52 feet

angle = 12.3

the height of tamara(eye's) = 5.1 feet

Required

Tall of the flagpole

Solution

Sketch attached

$\tt Tan~12.3=\dfrac{y}{52}\\\\y=52~tan~12.3^o\\\\y=11.338~feet\\\\Tall~of~the~flagpole=5.1+11.338=16.438~feet$