what are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotensue is 15 units long?

Mathematics

1 answer:

givi [52]2 years ago

6 0

Refer to the diagram shown below.

Given:
m∠A = 19°
c = 15

By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835

cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828

Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)

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