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elena-s [515]
3 years ago
7

∠A is an acute angle in a right triangle.

Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0
Cosine = adjacent / hypotenuse
So that means the adjacent side = 15 and the hypotenuse = 17
By Pythagorean Theorem, we know that
opposite^2 = hypotenuse^2 - adjacent^2
opposite^2 = 17^2 - 15^2
opposite^2 = 289 - 225
opposite^2 = 64
opposite side = 8

sine = opposite / hypotenuse
So,
sine A = 8 / 17


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<h3 /><h3 />

Let the two angles we require be x and y.

<h3 /><h3>Ratio of both angles</h3>

We have that the ratio of both angles are x:y

Since both angles are in the ratio 5:9, we have that,

x:y = 5:9

⇒ x/y = 5/9

<h3 /><h3>Value of the other angle</h3>

So, we Make y subject of the formula

Multiplying both sides by y, we have

y × x/y = 5/9 × y

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Multiplying both sides by 9, we have

9 × x = 5y/9 × 9

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Dividing both sides by 5, we have

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Learn more about angles here:

brainly.com/question/14362353

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