Question

HELLPPP

Solve for x.
11 cm
xº
x = [?]°
Round to the nearest hundredth.
5 cm

Answer 1

As we have a right triangle at hand, we can use sin, cos or tan to evaluate the angle x.

The easiest way would be to use tangent function. It is defined as tan(x) = opposite/adjacent.

Hence tan(x) = 11cm/5cm = 11/5 = 2.2

Taking the arctan on both sides (this is the inverse function to the tangent function) we get

x = arctan(2.2) = 1.1441… rad = 65.5560… degrees.

So the answer would be x is about 65.56 degrees.

Answer 2

x ≈ 65.56°

Explanation:

using the tangent ratio in the right triangle

tan x =
`(opposite)/(adjacent)` =
`(11)/(5)` , then

x =
`tan^(-1)` (
`(11)/(5)` ) ≈ 65.56° ( to the nearest hundredth )