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

Answer 9.9

Explanation:

the answer would be 9.87 but you round up to 9.9

Answer 2

h = 9.87 cm

Explanation:

Given that,

Base, b = 8 cm

Height = h

Angle,
`\theta=51^(\circ)`

We need to find the value of h. We can use trigonometry to find h.

`\tan\theta=\frac{\text{Perpendicular}}{\text{Base}}\\\\\tan(51)=(h)/(8)\\\\h=\tan(51)* 8\\\\h=9.87\ cm`

So, the height of the triangle is 9.87 cm.