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.

[tex]tan = \frac{opp}{adj} [/tex]
[tex] \tan(37) = \frac{opp}{15} [/tex]
[tex]h = 15 \tan(37) [/tex]
[tex]h = 11.3 \: cm[/tex]
Answer:
h ≈ 11.3 cm
Step-by-step explanation:
Using the tangent ratio in the right triangle.
tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{15}[/tex] ( multiply both sides by 15 )
15 × tan37° = h , that is
h ≈ 11. 3 cm ( to 1 dec. place )