Question

Bob is standing 25 feet from a lamppost that is to his left and 30 feet from a lamppost that is to his right. The distance between the two lampposts is 20 feet. What is the measure of the angle formed from the line from each lamppost to Bob? Approximate to the nearest degree. 1. 202 = 252 302 − 2(25)(30)cos(A) 2. 400 = 625 900 − (1500)cos(A) 3. 400 = 1525 − (1500)cos(A) 4. −1125 = −(1500)cos(A) degrees.

Answer 1

Answer:

The answer is 41

Step-by-step explanation:

400 = 900 + 625 - 1500 cos x

400 - 1525 = -1500 cos x

-1125 = -1500 cos

cos x = -1125/-1500

x = cos⁻¹ 0.75

x = 41.409622109

x ≈ 41°