Question

Lexon is standing 7.05 meters away from the statue off the Merlin mp at Merlin park Singapore the height of her eyes from her feet is 1.55 meters given that the angle of elevation of the top of the statue from her eyes is 42ﾟ find the height of the statue

Answer 1

7.9m

Explanation:

We solve using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = x

Adjacent = 7.05m

We solve for x

tan 42 = x /7.05m

Cross Multiply

tan 42 × 7.05 = x

x = 6.3478485123m

Approximately = 6.35m

Height of the statue = x + 1.55

Hence, = 6.35m + 1.55m

= 7.9m

The height of the statue = 7.9 meters