👤

Answer :

Answer:

h ≈ 7.9 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin26° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{18}[/tex] ( multiply both sides by 18 )

18 × sin26° = h , then

h ≈ 7.9 cm ( to 1 dec. place )

We will find this using trigonometric ratios

We will apply the law of sines

  • [tex] \tt \: perpendicular = hypotenuse \times \sin( \alpha ) [/tex]

We are using this law as we have to find perpendicular or height of the triangle.

  • Hypotenuse= 18cm
  • sin(α)=sin(26°)

Putting values:

[tex] \sf Perpendicular = 18 \times \sin(26) [/tex]

[tex] \boxed {Perpendicular = 13.72605cm}[/tex]

View image Аноним

Go Teaching: Other Questions