D Take a Test Rayan Alotashan Google Chrome httpswwwmath Tes

D Take a Test Rayan Alotashan Google Chrome https://www.math Test aspx 1450632848 centerwin yes MAT 125-014 Quiz: M4D3Q4: Quiz 14 (9.2,9.3) 5 of 6 (0 complete) This Question: 1 pt Alocal merchant currently has a triangular gravel parking lot for her customers. The measurements or the lot are feet by by70 by 125 feet Determne the total costto pave the latirme price is S185 per sauare bot 175 The cost o pave the otis (Do not round until the inal answer. Then round tothe nearestcent as needed) a

Solution

Seem to be all acute angles, if try checking with Pythagorean Theorem formula. You can take 175 foot length as a base. Look for a \"height\". Choosing to find angle measure x where the 175 foot meets the 70 foot,

(175)^2+(70)^2-2*175*70cosx=125^2

  -2*175*70cosx=125^2-(175)^2-(70)^2

cosx=(-125^2+(175)^2+(70)^2)/(2*175*70)

cosx=0.14180

x=1.4258 rad or 81.85 degrees

Area of parking lot:

(1/2)*175*70*sinx=175*35*sin(81.85) using degrees

=6063.14square feet