Question

The diagram shows a right-angled triangle. 37° 15 cm cm What is the value of h? Give your answer correct to 1 decimal place.

Answer 1

`tan = (opp)/(adj)`

`\tan(37) = (opp)/(15)`

`h = 15 \tan(37)`

`h = 11.3 \: cm`

Answer 2

h ≈ 11.3 cm

Explanation:

Using the tangent ratio in the right triangle.

tan37° =
`(opposite)/(adjacent)` =
`(h)/(15)` ( multiply both sides by 15 )

15 × tan37° = h , that is

h ≈ 11. 3 cm ( to 1 dec. place )