Question

Calculate the side lengths a and b to two decimal places. Will give five stars and brainliest to the first answer!!!!! Need help ASAP.

Answer 1

Answer:

Using the Sine Rule , which states that

$\frac{a}{Sin A}=\frac{b}{Sin B}=\frac{c}{SinC}$

In Δ ABC

∠A +∠B+∠C=180°→→Angle Sum Property of Triangle

72°+85°+∠C=180°

∠C=180° - 157°

∠C= 23°

All the angles are in degrees.

$\frac{a}{Sin 72}=\frac{b}{Sin 85}=\frac{6.2}{Sin 23}$

Using the table of Sine, Calculating Sine Values

Sin 72°= 0.9510

Sin 85°=0.996

Sin 23°=0.390

$\frac{a}{0.951}=\frac{b}{0.996}=\frac{6.2}{0.390}\\\\ a=\frac{6.2 * 0.951}{0.390}= 15.118\\\\ b=\frac{6.2 * 0.996}{0.390}=15.833$

Among the five Options,

Option E: a= 15.09 and b=15.81  is approximately true.