A missile adjusts its flight path using a triangle formed with height = 7 units and hypotenuse = 25 units. If θ is the angle opposite to height and θ lies in the 1st quadrant, find tan(θ).
Show answer & explanation
Correct answer: B
Explanation
Given:
Height (opposite side) = 7
Hypotenuse = 25
By the formula:
Base² + Height² = Hypotenuse²
tanθ = Opposite / Base
Base² + 7² = 25²
Base² + 49 = 625
Base² = 576
Base = 24
tanθ = 7 / 24