Question

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

Answer 1

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)

Answer 2

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

Answer 3

I think it's the last one.

Answer 4

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

Answer 5

maybe easier to orient it different....

Answer 6

So the last one then

Answer 7

so the area of the red triangle is

(1/2) * base * height = (1/2) * 100 * h

Answer 8

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

Answer 9

you get what i did so far?, almost done

Answer 10

Yeah kinda lol

Answer 11

Since you already know the hypotenuse, you can use sin(40) to find h,

sin(40) = opposite side / hypotenuse
sin(40) = h / 53.2

Answer 12

so
h = 53.2 * sin(40)

Answer 13

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

Answer 14

yeah, you guess or do that work? :)

Answer 15

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

Answer 16

sure, start a new clean thread