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
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.