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Lana71 [14]
3 years ago
7

Find the value of x.

Mathematics
1 answer:
777dan777 [17]3 years ago
6 0
I dont get it look like you already did 
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Please Help! Math help Needed
Sholpan [36]

ANSWER

The exact value is 24√3

The approximate value is 41.6 to the nearest tenth.

x=52.1 units.

EXPLANATION

Let the blue dotted line be h units.

This line is opposite to the 60° angle.

The side length of the triangle which is 24 units is adjacent to the 60° angle.

So we use the tangent ratio,

\tan(60 \degree)  =  \frac{opposite}{adjacent}

\tan(60 \degree)  =  \frac{h}{24}

\sqrt{3} =  \frac{h}{24}

h = 24 \sqrt{3}

This is the exact value.

h = 41.6

This is that approximate value to the nearest tenth.

To find the side length , x, we need to use the second triangle.

\sin(53\degree)  =  \frac{h}{x}

\sin(53\degree)  =  \frac{41.6}{x}

x =  \frac{41.6}{\sin(53\degree)}

x = 52.1

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