Question

The diagram shows a right-angled triangle.

9 cm
23°
hcm
What is the value of h?
Give your answer correct to 1 decimal place.

Answer 1

h ≈ 21.2 cm

Explanation:

Using the tangent ratio in the right triangle

tan23° =
`(opposite)/(adjacent)` =
`(9)/(h)` ( multiply both sides by h )

h × tan23° = 9 ( divide both sides by tan23° )

h =
`(9)/(tan23)` ≈ 21.2 cm ( to 1 dec. place )

Answer 2

Explanation:

tan 23= 9/h

0.4245= 9/h

h=9/0.4245

h= 21.2