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60 = (15 x 10 x sin) / 2

Guest May 15, 2017
 #1
avatar+92781 
+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
avatar
+1

The point of the question is to find the angle. 

Guest May 15, 2017
edited by Guest  May 15, 2017
 #3
avatar+92781 
+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
avatar+7348 
+1

60 = (15 x 10 x sin) / 2

 

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

 

\(\alpha=53.13\ °\)

 

laugh  !

asinus  May 15, 2017

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