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

Efan Halliday 2021-09-09 Answered
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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Expert Answer

Laaibah Pitt
Answered 2021-09-10 Author has 25582 answers
\(\displaystyle{\cos{{\left(\angle{L}\right)}}}=\frac{{{M}{L}}}{{{K}{L}}}\)
\(\displaystyle{\cos{{x}}}=\frac{{1.1}}{{4.2}}\)
\(\displaystyle{\cos{{x}}}={0.262}\)
\(\displaystyle{x}={{\cos}^{{-{{1}}}}{\left({0.262}\right)}}\)
\(\displaystyle{x}\approx{75}°\)
\(\displaystyle\angle{L}={75}°\)
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