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In the figure below, a pole has two wires attached to it, one on each side, forming two right triangles.

What is the measure of angle m ? Round to nearest whole degree

Options:
60

53

36

38

In the figure below a pole has two wires attached to it one on each side forming two right triangles What is the measure of angle m Round to nearest whole degre class=

Respuesta :

abidemiokin

Answer:

D. 38

Step-by-step explanation:

Using the concept of SOH CAH TOA in trigonometry identity:

According to the left hand side of the right angled triangle;

Opposite side = p

Hypotenuse = 15

Using SOH identity to get p:

Sin47° = opposite/hypotenuse

Sin47° = p/15

p = 15sin47°

p = 10.97

This p = 10.97 will also be the opposite side for the triangle at the right and hypotenuse = 18.

Applying the SOH identity to get the measure of angle m° we have;

Sin m° = Opposite/Hypotenuse

Sin m° = 10.97/18

Sin m° = 0.609

m° = arcsin 0.609

m° = 37.5°

m = 38° to the nearest degree.

shristiparmar1221

This question is based on formula of angle triangle.Therefore, the measure of angle m is 38°.

We need to determined  the angle m. Now calculate it,

According to question,

In left hand triangle,By the formula,

[tex]\bold{Sin \:\alpha = \dfrac{Perependicular}{Hypotenuse}= \dfrac{P}{H} }[/tex]

Where, α = 47°, P = p, h = 15

[tex]\begin{aligned}Sin 47\° &=\dfrac{p}{15}\\Sin 47\°\times 15 &=p\\\bold{p &=10.97}}\end{aligned}[/tex]

Now, in right hand triangle, by the above formula,

α = m°

p= 10.97

h= 18

[tex]\begin{aligned}Sin \:m\° &=\dfrac{10.97}{18}\\Sin \: m\°&=0.609\\m\°&=arc\:sin\:0.609\\ \bold{m\°&=37.5\° (approx\:38\°)} \end{aligned}[/tex]+

Therefore, the measure of angle m is 38°.

For further details, please prefer this link:

https://brainly.com/question/3260349

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