Respuesta :

jcherry99

Answer:

SU = 13.03

Step-by-step 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

imlittlestar

Answer:

The length of SU = 13.0

Step-by-step 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

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