A tower stands vertically on the ground. From point P, which is located 40 meters from the ground at the base of the tower, the angle of elevation to the tower’s top is , where tan equals 1.5. From another point Q, situated 60 meters away from the foot of the tower (in line with point P and the tower’s base), the angle of elevation to the top of the tower is . What is the value of tan?
Show answer & explanation
Correct answer: C
Explanation
Distance from point P = 40 meters
tanα = 1.5
tanα = height / base
1.5 = height / 40
Height = 1.5 × 40 = 60 meters
Distance of point Q from the base of the tower = 60 meters
tanβ = = 60 / 60 = 1