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Tanzania [10]
3 years ago
9

In △JKL, solve for x. a) 17.32 b) 38.16 c) 66.73 d) 74.89

Mathematics
1 answer:
natita [175]3 years ago
8 0

Answer:

c) 66.73

Step-by-step explanation:

We have been given a right triangle. We are asked to find the value of x for our given triangle.

We can see that x is adjacent side for angle 27 degrees and side Kl is opposite side.

We know that tangent relates opposite side of right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

Upon substituting our given values, we will get:

\text{tan}(27^{\circ})=\frac{34}{x}

x=\frac{34}{\text{tan}(27^{\circ})}

x=\frac{34}{0.509525449494}

x=66.728757\approx 66.73

Therefore, the value of x is 66.73 for our given triangle and option 'c' is the correct choice.

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