We can use trigonometry to solve this problem. Let's draw a diagram:
The surveyor is standing 160 feet away from the base of the pole and measures an angle of elevation of 62 degrees to the top of the pole. We want to find the height of the pole, which we can call h.
We can use the tangent function:
tan(62 degrees) = h/160
We can multiply both sides by 160 to isolate h:
h = 160 tan(62 degrees)
Using a calculator, we get:
h ≈ 301 feet
Therefore, the answer is B. 301 feet to the nearest foot.
To find the height of a pole, a surveyor moves 160 feet away from the base of the pole and then, with a transit 6 feet tall, measures the angle of elevation to the top of the pole to be 62°. To the nearest foot, what is the height of the pole?
A. 307 feet
B. 301 feet
C. 147 feet
D. 141 feet
2 answers
AAAaannndd the bot gets it wrong yet again!
Don't forget he's measuring the angle from 6' up.
(h-6)/160 = tan62°
Don't forget he's measuring the angle from 6' up.
(h-6)/160 = tan62°