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Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Given the following information, find the length of the missing side. Leave your answer-example-1

2 Answers

0 votes

Answer:

2v3

Explanation:

User Koro
by
3.7k points
2 votes

Answer:

2√3

Explanation:

Given the following information,

Long = 3 = Adjacent

Angle of elevation =30 degrees

Required

Hypotenuse

Using SOH CAH TOA identity

Cos theta = adj/hyp

Cos 30 = 3/hyp

hyp = 3/cos30

hyp = 3/√3/2

hyp = 3* 2/√3

hyp = 6/√3

hyp = 6/√3 * √3/√3

hyp = 6√3/3

hyp = 2√3

Hence the hypotenuse is 2√3

User Akshey Bhat
by
4.4k points