Question

A park in a subdivision has a triangular shape. Two adjacent sides of the park are 533 feet and 525 feet. The angle between the sides is 53°. Find the area of the park to the nearest square foot.
(I used sin(53)(533)=425.67 and rounded it to 425.7
Then I used: A=bh/2
A = 425.7(height) x 525(base)/2=111746.25
However I am going to leave it at 111746. Is this correct???)

Answer 1

This is simply 1/2*a*b*sinC.

Answer 2

Yeah okay

Answer 3

doesn't it come out to the same answer that way

Answer 4

How did you calculate it?

Answer 5

Both ways are possible. Check your workings.

Answer 6

The answers should be the same, but the method I mentioned is a lot more efficient.

Answer 7

Yes, it is possible to do it both was and get the correct answer, I did.
I know this: (1/2)(533 ft)(525 ft) sin(53) (the way you told me)= 111739(which is correct)
However, when you break it apart into sections and do sin(53)(533), you get 425.67 (in my case I rounded to 425.7) Since the question says to find the area you can also use the Area formula which is A=bh/2 or 1/2 .
So then (to break it up even more) you can plug 425.67 in as the height and 525 as the base, multiply it and then divide by to 2 and get 111738 or 111739. So both ways are possible, your way is a lot easier. Though I think this way is more precise. ^-^
Howeve, rounding, like I did, played a big part on the answer that I got, so I guess maybe I souldn't have rounded 425.67...

Answer 8

totally off topic but i love your profile pic ^-^

Answer 9

LOL mine