Question

What is the answer to this question?

Answer 1

The length of SU = 13.0

Explanation:

From the figure we can see a right angled triangle SUT.

Right angled at U

Points to remember

Tan(x) = Opposite side/Adjacent side

To find the SU

Here,

UT = 5 and m<S = 21

Tan S = Opposite side/Adjacent side

Tan S = UT/SU

SU = UT/Tan S = 5/Tan(21) = 5/0.3838 = 13.0

Therefore the length of SU = 13.0

Answer 2

SU = 13.03

Explanation:

The tangent is the opposite over the adjacent.

In this case

Tan(theta) = TU/SU

theta = 21 degrees

TU = 5

SU = ??

Tan(21) = 5/SU Multiply both sides by SU

SU * tan(21) = 5 Substitute a value for tan(21)

Tan(21) = 0.3839

0.3839 SU = 5 Divide both sides by 0.3839

US = 5/0.3839

SU = 13.03