Heights & Distances – Quantitative Aptitude Notes

Heights & Distances

In this topic, we deal with scenarios where a right-angled triangle is formed, with height on one side and distance on the other side. The third side is hypotenuse.

Thus, basic trigonometry and right-angled triangle geometry are needed to solve these questions.

Trigonometric Formulae:

sinθ = O/H          cosθ = H/O

cosecθ = A/H      secθ = H/A

tanθ = O/A          cotθ = A/O

Trigonometric Identities:

sin2θ + cos2θ = 1

1 + tan2θ = sec2θ

1 + cot2θ = cosec2θ

Trigonometric Values

θ0o30o45o60o90o
sin θ01/21/√2√3/21
cos θ1√3/21/√21/20
tan θ01/√31√3undefined