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The angle of elevation from L to K measures 55°. If JK = 26, find JL. Round your answer to the nearest tenth.

A. 37.1

B. 21.3

C. 14.9

D. 26.8

The angle of elevation from L to K measures 55 If JK 26 find JL Round your answer to the nearest tenth A 37 1

Answer :

Answer:

37.1

Step-by-step explanation:

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Rewritten by : Barada

the angle of elevation is the degree at which you need to look up, therefore the angle between the dotted line, let's call it LM, and line LK is 5 degrees

Angle JLK and Angle KLM are also complimentary angles, meaning that they both add up to 90 degrees, therefore angle JLK = 90-55=35degrees

Now, SOHCAHTOA comes in handy to find JL. Since we know JLK and JK, this is going to be a breeze.
Since the sides we are using are opposite and adjacent to JLK, we are going to use tan.
So: tan = o/a
however, as we don't know a, we need to rearrange the equation so a is on its own
tan=o/a (times both sides by a)
tan a = o (divide both sides by tan)
a = 0/tan

Now we can solve the equation with the information given
a = 26/tan35
a = 26/0.7
a=37.13184818
=> 37.1

So, you can put down A as your answer :D