A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is ?b? = 63°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is ?a? = 42°. Find the height of the antenna to the nearest foot. (Hint: Find x first.)
?

?
__________ ft

Fill in the blank(s) with the appropriate word(s).


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Mathematics

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Indicate whether the variable is qualitative or quantitative.The number of calls received at a company's help desk

A. quantitative B. qualitative

Mathematics

Solve the problem. Round to the nearest hundredth if necessary.The windshield wiper on a car sweeps in the pattern depicted in the figure. The wiper blade is  long, but the blade does not cover the first 6 in. of the pattern. How long is the arc at each end of the blade? 

A. Outside arc = 150.72 in. , inside arc = 37.68 in. B. Outside arc = 12.56 in. , inside arc = 3.14 in. C. Outside arc = 75.36 in. , inside arc = 18.84 in. D. Outside arc = 25.12 in. , inside arc = 6.28 in.

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Solve the problem.An isosceles triangle contains two angles of the same measure. If the measure of the third angle is 51° less than the measure of either of the other two angles, find the measure of one of the identical angles. (Hint: The sum of the angles of a triangle is 180°.)

A. 57° B. 115.5° C. 26° D. 77°

Mathematics

A savings account contained $416. After a deposit of $65 and a withdrawal of $135, how much is in the account?$__________

Fill in the blank(s) with the appropriate word(s).

Mathematics