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QUESTION IMAGE

find sinc image of a right triangle with right angle at b, side cb = 21…

Question

find sinc
image of a right triangle with right angle at b, side cb = 21, side ab = 28, side ac = 35
options:

  1. 28/35
  2. 21/35
  3. 35/28
  4. 28/21

Explanation:

Step1: Recall the sine function definition

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\)

Step2: Identify the sides relative to angle \(C\)

For angle \(C\), the opposite side is \(AB = 28\) and the hypotenuse is \(AC=35\)

Step3: Calculate \(\sin C\)

\(\sin C=\frac{AB}{AC}=\frac{28}{35}\)

Answer:

\(\frac{28}{35}\)