Question

Hey need some help with this problem, its trigonometry with right triangles using SohCahToa if you can give me a hand it would be greatly appreciated

Answer 1

For the given triangle, the value of x equals 30.9892 units.

Explanation:

Step 1:

In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.

To determine the value of x, we determine the value of the tan of the given triangle.

To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.

`tan A = (oppositeside)/(adjacent side).`

Step 2:

The length of the opposite side = 26 units.

The length of the adjacent side = x units.

`tan A = (oppositeside)/(adjacent side), tan 40 = 0.8390, tan A = (26)/(x) .`

`0.8390 = (26)/(x) , x = (26)/(0.8390) = 30.9892.`

So x measures 30.9892 units.