Which equation can be used to find the length of ?

Asked by maham237 @ 26/12/2020 in Mathematics viewed by 381 People

Which equation can be used to find the length of AC?

Answered by maham237 @ 26/12/2020

With respect to the given angle of 40°

AC = b, is the opposite side

AB = 10 in is the hypotenuse.

Using the rules of trigonometric ratios,

We know the ratio associating opposite & hypotenuse is sin.

So we have

$sin\theta= \frac{Opposite}{Hypotenuse}$

Substituting the values we get

$sin 40^{0} = \frac{b}{10}$

Multiplying both sides by 10 we get

b = 10 sin 40°

AC = 10 sin40°

First option is the right answer.

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