1. To find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then, with a transit 8 feet tall, measure the angle of elevation to the top of the pole to be 36*. to the nearest foot, what is the height of the pole?
A) 87 feet.
B) 95 feet.
C) 71 feet.
D) 79 feet.
To me, this question is worded weirdly and I'm not getting what they are asking. What does it mean "transit 8 feet tall"? Could someone help solve this please? Thank you so much!
The transit here is extraneous information-- it's simply a device used to measure angles (I assume).
We know that the base of the right triangle is 120 feet. (Notice that the transit of 8ft is nonsensical in this problem doesn't make sense because we're solving for the height of the pole / triangle so the transit can't be the height, and that the hypotenuse is the longest side of the triangle, yet 8 < 120.) We know the angle of elevation is 36 degrees, and we want to know the height, which will be the opposite side, relative to the angle given.
120sin(36)-- I don't have a calculator on me.
Actually, wait. You should be using tan, since you're given the adjacent side. (The lesson here: always draw a picture.)
0.5877 and I know that's definitely not correct. What am I doing wrong?posted by Tia
^ Sorry! That was supposed to be my name!
Never mind! I redid it and got 87.185, thank you so much!
way to fece you dude
i mean go. Autocorrect lolololol