Question

The diagram shows a right-angled triangle.

51°
8 cm
hcm
What is the value of h?
Give your answer correct to 1 decimal place.

Answer 1

h ≈ 9.9 cm

Explanation:

By applying tangent rule for the given angle in the given right triangle,

tan(51°) =
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

tan(51°) =
`(h)/(8)`

h = 8 × tan(51°)

h = 9.879

h ≈ 9.9 cm

Therefore, measure of side 'h' is 9.9 cm.