Question

Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

Answer 1

r = 19.0

s = 17.7

Explanation:

In the given right triangle ABC,

Measure of Hypotenuse (AC) = 26

m(∠CAB) = 43°

By applying sine rule in the given triangle,

sin(43)° =
`\frac{\text{Opposite side}}{Hypotenuse}= (BC)/(AC)`

sin(43)° =
`(s)/(26)`

s = 26[sin(43)°]

s = 17.73

s ≈ 17.7

Similarly, by applying cosine rule in the given triangle,

cos(43)° =
`\frac{\text{Opposite side}}{Hypotenuse}= (AB)/(AC)`

=
`(r)/(26)`

r = 26[cos(43)°]

r = 19.02

r ≈`19.0