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Find the height of the triangle

Find the height of the triangle-example-1

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2 votes
The given triangle is a right angle. To solve this, we can use;

sin theta = opposite / hypotenuse ; where theta =20 ; h = 10
sin (20) = x / 10
x = 3.42

The answer is the fourth one, 3.42
User Maxim Yefremov
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7.5k points
4 votes
There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.

We'll do the sine trig. identity, as it is the most effective.

Given an angle '
\alpha' in a right triangle, '
sin( \alpha )' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.

So, for this setup:

sin(20)= (x)/(10)

Now, we solve for x:

x=10sin(20)=3.42

So, answer is 3.4
User JavierFuentes
by
8.2k points

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