10 !

what is the value of x in this triangle

14.04º

Step-by-step explanation:

Since it is a right-angle triangle, we can apply the trigonometry identity.

The Tangent rule state that Tan (θ) = Opposite/Adjacent

In the diagram, the opposite (the side that is opposite of the θ) is 5 units.

The adjacent (the side that is along the θ) is 20 units.

Applying the identity,

Tan (θ) = 5/20

θ = 14.04º (nearest hundredth)

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are