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Find the area with work

Guest Jun 14, 2017

Best Answer 

 #1
avatar+7155 
+2

area = (1/2) * base * height

 

Let's call the base   10 km .

 

 

Here, I just rotated it so that the base is at the bottom and added the pink line for the height.

 

sin θ  =  opposite / hypotenuse

sin 37º  =  height / 7                          Multiply both sides of this equation by  7  .

7 sin 37º  =  height

 

area  =  (1/2) * base * height

area  =  (1/2) * (10) * (7 sin 37º)

area  =  35 sin 37º                           Put this into a calculator to get that...

area  ≈  21.064   square km

hectictar  Jun 14, 2017
 #1
avatar+7155 
+2
Best Answer

area = (1/2) * base * height

 

Let's call the base   10 km .

 

 

Here, I just rotated it so that the base is at the bottom and added the pink line for the height.

 

sin θ  =  opposite / hypotenuse

sin 37º  =  height / 7                          Multiply both sides of this equation by  7  .

7 sin 37º  =  height

 

area  =  (1/2) * base * height

area  =  (1/2) * (10) * (7 sin 37º)

area  =  35 sin 37º                           Put this into a calculator to get that...

area  ≈  21.064   square km

hectictar  Jun 14, 2017

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