Question

In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.

Answer 1

7.3

Explanation:

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Answer 2

7.4inches

Explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

`(u)/(sinU) = (v)/(sinV) = (w)/(sinW)\\(u)/(sinU) = (w)/(sinW)`

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

`(u)/(sin73^(0) ) = (3)/(sin23^(0) )\\usin23^(0) = 3sin73^(0)\\u = (3sin73^(0) )/(sin23^(0) )\\u = (2.87)/(0.39) \\u = 7.358\\u = 7.4in`

The length of u is 7.4inches to nearest 10th of an inch