Question

A surveyor finds that the face of a pyramid makes an angle of 135° with the ground, as shown. From a point 100 meters from the base of the pyramid, the angle of elevation to the top is 25°. Which of the following correctly sets up the situation to solve for length XY?

Answer 1

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Below are the choices that can be found from other source:

a. Law of Sines: XY/sin 25º = 100/sin 135º 
b. Law of Cosines: (XY)2 = (100)2 + (135)2 - 2(100)(XY)(cos 25º) 
c. Law of Cosines: (100)2 = (XY)2 + (135)2 - 2(100)(135)(cos 25º) 
d. Law of Sines: XY/sin 25º = 100/sin 20º 

The answer is D