Question

In ΔKLM, the measure of ∠M=90°, MK = 2.7 feet, and KL = 6.6 feet. Find the measure of ∠L to the nearest degree.

Answer 1

7 degrees because it’s Pythagorean theory

Answer 2

24.15° = 24° to the nearest degree

Explanation:

If we draw the triangle we would see that the KL is the longest side and the hypothenus;

Also MK would-be the height and ML is the base of the triangle.

Since L and M are the angles at the base;

From Trigonometry Sin L = MK/ KL

= 2.7/6.6

L = Sin^{-1} (2.7/6.6)

L = Sin^{-1} (0.4091)

=24.15°

Note : sin a = height/ longest side

= Opposite/hypothenus