# trigo

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A television tower stands on the top of the building from point 83.7 feet from the base of the building the angles of elevator to the top and the base of the tower are 63.20 minutes and 38.51 minutes respectively. How tall is the tower?

• trigo -

Draw a diagram.
height of building is b
height of tower is h

tan 63.20° = (b+h)/83.7
tan 38.51° = b/83.7

b = 83.7 * 0.796 = 66.6

(66.6+h)/83.7 = 1.980
h + 66.6 = 165.70
h = 99.1 ft

Hmmm. a 99ft tower on a 67ft building?

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