Question

If tanθ = 3/4 and θ is acute, find sinθ and cosθ, and verify that sin²θ + cos²θ = 1.

Q: Answer-If tanθ = 3/4 and θ is acute, find sinθ and cosθ, and verify that sin²θ + cos²θ = 1.

Let initial distance from tower foot x m, tower height h m. From first position tan45 hx 1 hx h x From second position distance x 10 tan60 hx 10 3 hx 10 Substitute h x 3 xx 10 3x 10 x 3x 103 x 3 1x 103 x 103 3 1 Rationalise x 1033 1 3 13 1 1033 1 3 1 533 1 53 3 Height h x 53 3 m.