In △ABC , if a=36 cm and m∠C = 23° , then what is the length of altitude h ? Round your answer to the nearest whole number. (1 point) Responses 92 cm 92 cm 39 cm 39 cm 14 cm 14 cm 33 cm

Answer 1

To find the length of the altitude, you can use the trigonometric relationship between the altitude and the side of the triangle.

Since you are given the angle C and the side a, you can use the formula:

h = a * sin(C)

Plugging in the given values, you get:

h = 36 cm * sin(23°)

Using a calculator, you can find that sin(23°) is approximately 0.3907.

So, h = 36 cm * 0.3907 = 14.0652 cm

Rounding to the nearest whole number, the length of the altitude h is 14 cm.