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# Find the area with work

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Find the area with work

Guest Jun 14, 2017

#1
+4172
+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
Sort:

#1
+4172
+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

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