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

Answer:

h ≈ 11.3 cm

Step-by-step explanation:

Using the tangent ratio in the right triangle.

tan37° = $\frac{opposite}{adjacent}$ = $\frac{h}{15}$ ( multiply both sides by 15 )

15 × tan37° = h , that is

h ≈ 11. 3 cm ( to 1 dec. place )

Answer 2

$tan = \frac{opp}{adj}$

$\tan(37) = \frac{opp}{15}$

$h = 15 \tan(37)$

$h = 11.3 \: cm$