In △ABC
, if a = 36
cm and m∠C=23°
, then what is the length of the altitude, h
? Round your answer to the nearest whole number.
To find the length of the altitude, we can use the formula:
h = a * sin(∠C)
From the given information, we have a = 36 cm and ∠C = 23°.
Now we can substitute these values into the formula:
h = 36 * sin(23°)
Using a calculator, we can find that sin(23°) ≈ 0.3907.
Therefore, the length of the altitude, h, is approximately:
h = 36 * 0.3907 = 14.0652
Rounding to the nearest whole number, h ≈ 14 cm.