202k views
3 votes
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth. V 5 22

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

1 Answer

1 vote

The given triangle is a right triangle. Taking angle 71 as the reference angle,

Opposite side = v

Adjacent side = w

Hypotenuse = 5

We would find v by applying the sine trigonometric ratio which is expressed as

Sinθ = opposite side/hypotenuse

Thus,

Sin71 = v/5

By crossmultiplying,

v = 5Sin71

v = 4.72

Rounding to the nearest tenth,

v = 4.7

We would find w by applying the cosine trigonometric ratio which is expressed as

Cosθ = adjacent side/hypotenuse

Thus,

Cos71 = w/5

By crossmultiplying,

w = 5Cos71

w = 1.628

Rounding to the nearest tenth,

w = 1.6

User Twhale
by
4.0k points