1 Answer

Bohne · Answer 1 · 2021-01-16T23:41:39+0000

Answer:

r = 2.7 cm

Explanation:

From the figure attached,

To find the value of 'r' we will apply the sine rule in ΔRST,

sin(m∠R) =
$\frac{\text{Opposite side}}{\text{Hypotenuse}}$

sin(20)° =
(r)/(SR)

sin(20)° =
(r)/(8)

r = 8sin(20)°

r = 8(0.34202)

r = 2.736

r ≈ 2.7 cm

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