In the middle of town, State and Elm streets meet at an angle of 40º. A triangular pocket park between the streets stretches 100 yards along State Street and 53.2 yards along Elm Street. What formula for the area of the pocket park would you use

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- anonymous

A = 1/2(sin40º)(53.2 yd)
A = 1/2 (sin100º)(53.2 yd)
A = (100 yd)(sin50º)(53.2 yd)
A = 1/2 (100 yd)(sin40º)(53.2 yd)

- DanJS

draw it up, looks like you are given side - angle - side values

- DanJS

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## More answers

- anonymous

I think it's the last one.

- DanJS

The area of a triangle is (1/2)*base*height

- DanJS

maybe easier to orient it different....
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- DanJS

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- anonymous

So the last one then

- DanJS

so the area of the red triangle is
(1/2) * base * height = (1/2) * 100 * h

- DanJS

since h is part of a right triangle, you can use trig function to rewrite its value

- DanJS

you get what i did so far?, almost done

- anonymous

Yeah kinda lol

- DanJS

Since you already know the hypotenuse, you can use sin(40) to find h,
sin(40) = opposite side / hypotenuse
sin(40) = h / 53.2

- DanJS

so
h = 53.2 * sin(40)

- anonymous

Omg so I was right. It's 1/2(100)(Sin40)(53.2)

- DanJS

yeah, you guess or do that work? :)

- anonymous

Did the work just wasn't sure. Mind helping me with one more? Then I'm done

- DanJS

sure, start a new clean thread

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