Respuesta :

Answer:

6

Step-by-step explanation:

8^2*(TS)^2=10^2

(TS)^2=36

TS=6

Answer:

Step-by-step explanation:

Triangle RST is a right angle triangle.

From the given right angle triangle,

RS represents the hypotenuse of the right angle triangle.

With m∠R as the reference angle,

RT represents the adjacent side of the right angle triangle.

ST represents the opposite side of the right angle triangle.

To determine m∠R, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos m∠R = 8/10 = 0.8

m∠R = Cos^-1(0.8)

m∠R = 36.9 to one decimal place.

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