Question

In a right triangle, the side opposite angle x is 19 units and the hypotenuse is 26 units. What is the measure of angle

x to the nearest whole number?
A. 37 degrees
B. 27 degrees
C. 57 degrees
D. 4.6 degrees

Answer 1

x=47 degrees

Explanation:

We can use trigonometry to solve this problem.

the sine of the angle is equal to the side opposite the angle divided by the hypotenuse

so we have
`sin(x)=(19)/(26)`

now, in order to get x by itself, we have to take the inverse sine of both sides.

`x=sin^(-1) ((19)/(26) )`

now we can plug this into a calculator.

we get 46.95 degrees

I think there is a typo in option D. because it says to find the nearest whole number but 4.6 is not a whole number.