57 297
Assignments Done
Successfully Done
In February 2018
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Trigonometry Question for Nathan

Question #14838
A triangular piece of land is bounded by three straight roads, two of which intersect in a right angle. The third road makes an angle of 37.6° with one of the others. The perimeter of the land is 985 yards. What is its area, to the nearest square foot?
Expert's answer
Let's denote the road triangle's sides by a, b, and c. Then we've got the following system of equations:

a + b + c = 985;
a = c* cos(37.6);
b = c* sin(37.6);

Let's plug in last two into first to solve for c:

c*cos(37.6) + c*sin(37.6) + c = 985 ==>
0.79c + 0.61c + c = 985 ==>
2.4c = 985 ==>
c = 410

now plug c into those initial equations for a and b to solve for a and b:

a = 326, b = 250: area = 1/2 * a*b = 0.5*326*250 = 40.750 square yards.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question