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2.) What is the length of the hypotenuse?
i
30°
90 feet

2.) What is the length of the hypotenuse? i 30° 90 feet-example-1
User Ijmarshall
by
8.4k points

2 Answers

2 votes

Explanation:

Cos(30°) = 90 / hypotenuse


( √(3) )/(2) = (90)/(hypotenuse)

Hypotenuse =


60 √(3) = 103.9

User Pete McKinney
by
7.4k points
3 votes

Answer: ≈ 103.92 feet

Explanation:

Since this is a right triangle we can use a trigonometry function to help us solve. Here, we will utilize cosine since we are given the hypotenuse and the adjacent side to the angle to work with. Let x be the length of the hypotenuse.

Given:

cos(30°) =
\frac{90\;\text{feet}}{x}

Multiply both sides of the equation by x:

xcos(30°) = 90 feet

Divide both sides of the equation by cos(30°):

x = 103.92304845 feet ≈ 103.92 feet

User Ronser
by
8.9k points

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