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# Trigonometry Question

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60 = (15 x 10 x sin) / 2

Guest May 15, 2017
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#1
+90559
+1

60 = (15 x 10 x sin) / 2

This question does not make sense.

You need and angle after sin ..    :)

Melody  May 15, 2017
#2
+1

The point of the question is to find the angle.

Guest May 15, 2017
edited by Guest  May 15, 2017
#3
+90559
+2

oh ok

$$60 = (15\times10 \times sin \theta ) / 2\\ 120 = 150 \times sin \theta \\ \frac{12}{15} = sin \theta \\ 0.8= sin \theta \\ sin\theta = 0.8\\ first\;or \; second \;quadrant\\$$

asin(0.8) = 53.130102354156

$$\theta=(180n + (-1)^n*53)^\circ \qquad n\in Z$$

Melody  May 15, 2017
#4
+7059
+1

60 = (15 x 10 x sin) / 2

$${\color{red}\frac{15\cdot 10 \cdot sin\ \alpha}{2}=60}\\75\cdot sin \ \alpha=60\\sin\ \alpha=\frac{60}{75}\\\alpha=arc\ sin \ 0.8$$

$$\alpha=53.13\ °$$

!

asinus  May 15, 2017

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