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In the right triangle below, use special right triangle ratios to find the exact length of BC.

A. 15 cm

B. 10√3cm

C. 15√2cm

D. 15√3cm

In the right triangle below use special right triangle ratios to find the exact length of BC A 15 cm B 103cm C 152cm D 153cm class=

Respuesta :

CHERLYNnotCHERRY

Answer:

The answer is D.

Step-by-step explanation:

In order to find BC, you have to use Cosine Rule, cosθ = adjacent/hypotenuse. So you have to substitute the values into the formula :

[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]

Let adj. = BC,

Let hypo =30cm,

Let θ = 30°,

[tex] \cos(30) = \frac{bc}{30} [/tex]

[tex]bc = 30 \cos(30) [/tex]

[tex]bc = 15 \sqrt{3} cm[/tex]

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