Question

What is the length of Line segment B C? Round to the nearest tenth. Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 65 degrees. The length of hypotenuse B A is 16 centimeters and the length of B C is x.

Answer 1

Answer:

$BC=14.5\ cm$

Step-by-step explanation:

 we know that

In the right triangle ABC

$sin(65^o)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(65^o)=\frac{x}{16}$

solve for x

$x=sin(65^o)(16)=14.5\ cm$

Answer 2

The length of BC is 14.5 cm.

From the triangle ABC. x is opposite to 65 degree and 16 is hypotenuse.

We know: sin θ = opposite/hypotenuse

$\frac{x}{16}=\sin65\\ x=16\cdot\sin65\\ x=14.5$

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