147k views
0 votes
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

Find the value of each variable using sine and cosine. Round your answers to the nearest-example-1

1 Answer

3 votes

Answer:

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

Find the value of each variable using sine and cosine. Round your answers to the nearest-example-1
User Felix Reckers
by
6.8k points