Question

find the value of sin d rounded to the nearest hundredth, if necessary.

(right triangle def with right angle at e, de=28, ef=21, df=35)

answer attempt 1 out of 2
sin d = blank
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Explanation:

Step1: Recall the sine formula

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). For \(\angle D\), the side opposite to \(\angle D\) is \(EF = 21\), and the hypotenuse is \(DF=35\).

Step2: Calculate \(\sin D\)

Substitute the values into the formula: \(\sin D=\frac{EF}{DF}\). So, \(\sin D=\frac{21}{35}\).
Simplify \(\frac{21}{35}\): \(\frac{21\div7}{35\div7}=\frac{3}{5}=0.6\)

Answer:

\(0.6\)