mariamalimi mariamalimi
  • 15-02-2021
  • Mathematics
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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.

The diagram shows a rightangled triangle 37 15 cm cm What is the value of h Give your answer correct to 1 decimal place class=

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10n31y
10n31y 10n31y
  • 15-02-2021

[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]

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jimrgrant1 jimrgrant1
  • 15-02-2021

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 )

Answer Link

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