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)
To find the length of the altitude, we need to use the formula:
h = (a * sin(m∠C)) / 1
where a is the length of the side opposite the angle and m∠C is the measure of angle C in degrees.
h = (36 * sin(23°)) / 1
Using a calculator, we can find that sin(23°) is approximately 0.3907.
h = (36 * 0.3907) / 1
h ≈ 14.06
Rounding to the nearest whole number, the length of the altitude h is 14.