Question

In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.

x = ____ km

Answer 1

56.5

Explanation:

Took the test

Answer 2

Answer:
`x=56.5\ km`

Explanation:

Given the right triangle in the image, you need to remember the following identity:

`cos\alpha=(adjacent)/(hypotenuse)`

Observe the triangle. You can identify that:

`\alpha=28\°\\adjacent=x\\hypotenuse=64`

Then, knowing these values, you can substitute them into
`cos\alpha=(adjacent)/(hypotenuse)`:

`cos(28\°)=(x)/(64)`

Finally, you have to solve for "x".

Therefore, the value of "x" rounded to the nearest tenth is:

`64*cos(28\°)=x\\x=56.5\ km`