1 Answer

Masaya · Answer 1 · 2023-01-17T07:20:21+0000

The Solution:

Given the figure below:

We are required to find the length of DK to the nearest tenth of an inch.

By the Trigonometrical Ratio, we have that:

$\sin 43^o=\frac{\text{opp}}{\text{hyp}}=(16)/(DK)$
$\sin 43^o=(16)/(DK)$

Cross multiplying, we get

$DK\sin 43^o=16$

Dividing both sides by sin43, we get

$DK=(16)/(\sin 43^o)=23.4605\approx23.5^o$

Therefore, the correct answer is 23.5 degrees.

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