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What is the value of sin(A)?

User Limaaf
by
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1 Answer

1 vote

Answer

Sin A = 0.6

Step-by-step explanation

We can see that triangle ABC is similar to triangle XYZ.

Since two similar triangles have the same corresponding angles, we can easily find Sin A by finding Sin X since Angle A is corresponding to Angle X.

In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

So, after noting the three sides in a right triangle, we will then use trignometric ratios to solve for any of the unknown. If the non-right-angle angle given is X, the trignometric ratios in short forms are written as

SOH, CAH and TOA

SOH means Sin X = (Opp/Hyp)

CAH means Cos X = (Adj/Hyp)

TOA means Tan X = (Opp/Adj)

So, the one to be used depends on the sides of the triangle that are provided.

For this question,

Hypotenuse = 10

Opposite = 6

Adjacent = 8

Angle = X

SOH means Sin X = (Opp/Hyp)

Sin X = (6/10)

Sin X = 0.6

Sin A = Sin X = 0.6

Hope this Helps!!!

User Chris Dale
by
7.7k points

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