not good at visualizing stuff like this, any help would be wonderful!!
A park in a subdivision is triangular-shaped. 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.

Question

not good at visualizing stuff like this, any help would be wonderful!!
A park in a subdivision is triangular-shaped. 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.

anonymous · Answer

t would be wonderful if someone could help me work through it

mathstudent55 · Answer

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anonymous · Answer

thats cool! how did you do that?

mathstudent55 · Answer

There's a drawing to help you visualize it. The adjacent sides are next ot each other and the 53 deg angle is in between them.

mathstudent55 · Answer

Use draw at the bottom.

anonymous · Answer

so its just A= b x h  / 2, uhm any chance you can tell me what i use for the height?

mathstudent55 · Answer

The formula for the area of a triangle given two sides (a and b) and included angle C is:
$$A = \frac{ 1 }{ 2 } ab \sin C$$

anonymous · Answer

shoot.. i really hate sine, cosine, and tangents :(

mathstudent55 · Answer

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anonymous · Answer

don't worry about it anymore it will take forever for me to understand, thanks for your help though i appreciate it alot!

mathstudent55 · Answer

In drawing above, sin C = h/a (opposite over adjacent)
Solve for h: h = a sin C
Area of triangle = (1/2) bh, but h = a sin C, so
Area = (1/2) ab sin C