Respuesta :

Answer: sin(C) = 3/5

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Explanation:

Recall that sine is the ratio of opposite over hypotenuse.

For angle C, the opposite side is AB = 24 as this leg is furthest as possible from angle C. The hypotenuse is always opposite the 90 degree angle.

So,

sin(angle) = opposite/hypotenuse

sin(C) = AB/AC

sin(C) = 24/40

sin(C) = (8*3)/(8*5)

sin(C) = 3/5

If you want to find the measure of angle C, then you apply the arcsine rule to both sides. Inverse sine is the same as arcsine.

Answer:

Step-by-step explanation:

Solution

Here,

H=40

P=32

B=24

Now,

sinC=p/h

      =32/40

      =4/5

Where, 4 is perpendicular and 5 is hypotenuse.

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