Howard is standing 85 yards from the bottom of a water reservoir. He estimates that the angle of elevation to the top of the wat
1 answer:
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Use the change-of-basis identity,
to write
Use the product-to-sum identity,
to write
Redistribute the factors on the left side as
and simplify to
Now expand the right side:
Simplify and rewrite using the logarithm properties mentioned earlier.
(C)
<h3>Answer: x = 65.4</h3>
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Work Shown:
cos(angle) = adjacent/hypotenuse
cos(x) = 5/12
x = arccos(5/12)
x = 65.375681647836 which is approximate
x = 65.4 after rounding to one decimal place
Make sure your calculator is in degree mode. The arccosine function is the same as the inverse cosine function (shortened to ).