Question

13POINTS!!!

In ΔVWX, v = 47 cm, w = 11 cm and x=38 cm. Find the measure of ∠W to the nearest 10th of a degree.

Answer 1

Answer:

8.6

Step-by-step explanation:

deltamath

Answer 2

The measure of ∠W is 8.6 degrees

What is Triangle?

A triangle is a polygon with three edges and three vertices.

What is Cosine rule?

In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles

Given,

v = 47 cm

w = 11 cm

x = 38 cm

Draw a figure using the given data

Apply cosine rule,

$w^{2}= v^{2}+x^{2}-2vxcos W^{0} \\11^{2}=47^{2}+38^{2} -2(47)(38)cosW^{0}\\121=2209+1444-3575cosW^{0}\\3575cosW^{0}=2209+1444-121\\3575cosW^{0}=3532\\cosW^{0}=0.98\\W^{0}=8.6^{0}$

Hence, the measure of ∠W = 8.6 degrees

Learn more about Triangle and cosine rule here

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