In ΔKLM, the measure of ∠M=90°, the measure of ∠L=76°, and LM = 99 feet. Find the length of KL to the nearest tenth of a foot.
1 answer:
Answer:
The length of KL is 409.2 foot
Step-by-step explanation:
Firstly, please check attachment for diagrammatic representation.
From the diagram, we can see that we are asked to calculate the value of the hypotenuse KL. Kindly note that the hypotenuse is the longest side of the right-angled triangle and it faces the angle 90 at all times.
Looking at what we have, we can see that we have adjacent and we are asked to calculate hypotenuse.
The trigonometric identity to use here is the Cosine
Cosine = length of adjacent/length of hypotenuse
cos 76 = 99/hypotenuse
hypotenuse = 99/cos76
hypotenuse = 99/0.24192
hypotenuse = 409.22 which is 409.2 to the nearest tenth of a foot
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