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3 years ago

13

In ΔLMN, the measure of ∠N=90°, the measure of ∠M=17°, and MN = 20 feet. Find the length of LM to the nearest tenth of a foot.

2 answers:

astra-53 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

70

andrey2020 [161]3 years ago

3 0

20.9 ft
This is a right triangle trigonometry question because N is 90 degrees. MN is adjacent to M and LM is the hypotenuse. Adjacent any hypotenuse use the cosine function.
$cos \theta = \frac{adj}{hyp}$
plug in known values
$cos(17) = \frac{20}{x}$
switch cos(20) and x using the products property
$x = \frac{20}{cos(17)}$
plug into calculator to get 20.9 ft

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