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Consider the Triangle ABC below

Which expressions represent the length of side BC

Choose 2 answers

A : 6 * (Sin 55)

B : 6 * (Sin 35)

C : 6 * (Cos 55)

D : 6 * (Cos 35)

Consider the Triangle ABC below Which expressions represent the length of side BC-example-1
Consider the Triangle ABC below Which expressions represent the length of side BC-example-1
Consider the Triangle ABC below Which expressions represent the length of side BC-example-2

1 Answer

10 votes

Answer:

B: 6 * (Sin 35), C: 6 * (Cos 55)

Explanation:

First, it would be helpful to know where the 35 comes from.

This is the measure of angle A, which can be found using the equation 180 - (90 + 55) = 35.

The Sine ratio is opposite / hypotenuse, and the Cosine ratio is adjacent / hypotenuse.

For answer B, we first have Sin (35) = x / 6

Solving for x would require us to use 6 * (Sin 35).

For answer C, we first have Cos (55) = x / 6

Solving for x would require us to use 6 * Cos (55).

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