is △ABC, is a=36 cm and m ∠C=23 degree, then what is the length of altitude h? round your anwser to th nearest whole number

the answers choices are 33 cm,39cm,14cm, or 92 cm

1 answer

To find the length of the altitude, we can use the formula for the area of a triangle, which states that:

Area = (base * height) / 2

In this case, the base of the triangle is given by side a, which has a length of 36 cm. To find the height (altitude), we need to find the corresponding length of side b or side c.

Using trigonometric ratios, let's use the sine function to find the length of side b:

sin(C) = (height / side a)
sin(23°) = (h / 36)

Rearranging the formula, we get:

h = sin(23°) * 36

Calculating this expression, we find that h ≈ 14 cm.

Therefore, the length of the altitude (h) is 14 cm, so the closest answer choice is 14 cm.