justinthomas876 justinthomas876
  • 24-03-2021
  • Mathematics
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In AKLM, the measure of_ZM=90°, the measure of ZK=25°, and MK = 15 feet. Find the length of KL to the nearest tenth of a foot.

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abidemiokin
abidemiokin abidemiokin
  • 29-03-2021

Answer:

KL ≈ 16.6

Step-by-step explanation:

Given that;

m<K = 25 degrees

MK = Adjacent side to m<K = 15

KL = hypotenuse

Using the SOH CAH TOA identity

cos theta = adj/hyp

cos 25 = 15/KL

KL = 15/cos25

KL = 15/0.9063

KL = 16.55

KL ≈ 16.6 feet to the nearest tenth of a foot

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