SOLUTION: The angle of elevation to the top of a building in a city is found to be 4 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, f

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Question 1129887: The angle of elevation to the top of a building in a city is found to be 4 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, find the height of the building. (Round your answer to four decimal places.)

thanks in advance...
the answer I keep getting is 737.5267, but I know its not right because I keep getting it wrong on my online homework
Found 2 solutions by Alan3354, addingup:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
The angle of elevation to the top of a building in a city is found to be 4 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, find the height of the building. (Round your answer to four decimal places.)

thanks in advance...
the answer I keep getting is 737.5267, but I know its not right because I keep getting it wrong on my online homework
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How you get 737.5627 is of interest, and educational.
And what units? 737 miles? Feet?

Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website!
the hypotenuse is 2 miles long
the angle the hypotenuse makes with the ground is 4 degrees
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the angle given is for the hypotenuse-adjacent. And the side we are trying to find is the opposite. So we have the hypotenuse and want to find the opposite
Remember SOHCAHCOA. Here we have SOH (Sine Opposite Hypotenuse) so we will need to use Sine:
sin(4) = o/2
0.0698 = o/2
0.0698(2) = o
0.1396 = o
So, the opposite is the vertical wall and it measures 0.1396 miles or 737 feet (0.1396 x 5280 = 737)