Solve for x. Round your answer to the nearest tenth.
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1 point
A right triangle small side being 7 and other two sides being x. Inside left corner is 64 degrees.
a. 12
b. 14.4
c. 15.0
We can use the sine function to solve for x in this right triangle. The sine of an angle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, the opposite side is 7 and the hypotenuse is x. So we have:
sin(64) = 7/x
To solve for x, we can rearrange the equation:
x = 7 / sin(64)
Using a calculator, we find that sin(64) ≈ 0.8988.
Now we can substitute this value into the equation:
x = 7 / 0.8988 ≈ 7.8
Rounding to the nearest tenth, x is approximately 7.8.
So the answer is not listed among the given options.