# In triangle KLM, the measure of angle M = 90°, Lm = 1.1 feet, and KL = 4.2 feet. Find the measure of angle

In $$\displaystyle\triangle{K}{L}{M}$$, the measure of $$\displaystyle\angle{M}={90}°$$, Lm = 1.1 feet, and KL = 4.2 feet. Find the measure of $$\displaystyle\angle{L}$$.

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Laaibah Pitt
$$\displaystyle{\cos{{\left(\angle{L}\right)}}}=\frac{{{M}{L}}}{{{K}{L}}}$$
$$\displaystyle{\cos{{x}}}=\frac{{1.1}}{{4.2}}$$
$$\displaystyle{\cos{{x}}}={0.262}$$
$$\displaystyle{x}={{\cos}^{{-{{1}}}}{\left({0.262}\right)}}$$
$$\displaystyle{x}\approx{75}°$$
$$\displaystyle\angle{L}={75}°$$