Question

the red line in the figure is an altitude of triangle ABC. Using right angle trigonometry, write an equation involving sin C​

Answer 1

`\Large \boxed{\mathrm{\bold{C}}}`

Explanation:

`\sf \displaystyle sin(\theta)=(opposite)/(hypotenuse)`

The side opposite to
`\angle C` is h.

The hypotenuse of the smaller right triangle is a.

`\sf \displaystyle sin(C)=(h)/(a)`

Answer 2

sinC =
`(h)/(a)`

Explanation:

Since the red line is an altitude then the triangles are right, thus

sinC =
`(opposite)/(hypotenuse)` =
`(h)/(a)`