Question

Find the trig ratio. Reduce to lowest terms. 10 24 sin A =

Answer 1

The value of sin A is equal to $\frac{5}{13}.$

RIGHT TRIANGLE

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  In this triangle from the trigonometric ratios or the Pythagoras Theorem ($hypotenuse^2=(side_1)^2+(side_2)^2$), it is possible finding angles or sides.

Trigonometric Ratios

The main trigonometric ratios for a right triangle are presented below.

$sin\alpha =\frac{opposite \; side}{hypotenuse}$

$cos\alpha =sin\alpha =\frac{adjacent\; side}{hypotenuse}$

$tan\alpha =\frac{opposite \; side}{adjacent\; side}$

The question asks the sin A. First, you should find the hypotenuse from Pythagoras Theorem.

$hypotenuse^2=(10)^2+(24)^2\\ \\ hypotenuse^2=100+576\\\\ hypotenuse^2=676\\ \\ hypotenuse=26$

Now you can find sin A.

$sin\A=\frac{10}{26}=\frac{5}{13}$

Learn more about trigonometric ratios here:

brainly.com/question/11967894

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