# geometry

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An engineer is 980 ft
from the base of a fountain at Fountain Hills,
Arizona. The angle of elevation to the top of
the column of water is 29.78. The surveyor’s
angle measuring device is at the same level
as the base of the fountain

A.280

When the top of the column of water is just half as high as in part (a), ﬁnd
the angle of elevation to its top.

• geometry -

did you make a sketch??
This is just right-angled triangle trig
tan 29.78° = h/980
h = 980tan29.78°
=appr 561 feet

so when the height is 280.5 feet
tan Ø = 280.5/980 =.28612..
Ø = 15.97°

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