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Alekssandra [29.7K]
3 years ago
13

Right triangle FHG is shown. The sine of angle F is 0.53. What is the cosine of Angle h ?

Mathematics
1 answer:
g100num [7]3 years ago
6 0

<u>Given</u>:

Given that FGH is a right triangle. The sine of angle F is 0.53.

We need to determine the cosine of angle H.

<u>Cosine of angle H:</u>

Given that the sine of angle F is 0.53

This can be written as,

sin F=0.53

Applying the trigonometric ratio, we have;

\frac{HG}{FH}=0.53 ----- (1)

Now, we shall determine the value of cosine of angle H.

Let us apply the trigonometric ratio cos \ \theta=\frac{adj}{hyp}, we get;

cos \ H=\frac{HG}{FH} ----- (2)

Substituting the value from equation (1) in equation (2), we get;

cos \ H=0.53

Thus, the cosine of angle H is 0.53

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