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Help me with this equation plz!!!!! It’s a geometry question

Help me with this equation plz!!!!! It’s a geometry question-example-1
User Durand
by
3.1k points

2 Answers

3 votes

Answer:

x≈11.8

Explanation:

Since this is a right triangle, we can use cosine to find the length of CD.

First, set up an equation, then solve:

cos(49°)=18/x

x=18/cos(49°)

x≈ 11.80906252

rounded to the nearest tenth of a foot:

x≈11.8

User Harish Gadiya
by
3.3k points
4 votes

Answer:

Explanation:

Remark

The adjacent side is one of the two sides making up the acute angle in a right triangle. The second side is the Hypotenuse.

Givens

Cos(C) = side Adjacent / Hypotenuse

Cos(49) = 0.6561

Side Adjacent = 18

Solution

Cos(C) = side adjacent / Hypotenuse Multiply both sides by the hypotenuse

Hypotenuse * Cos(C) = Side Adjacent Divide by Cos(C)

Hypotenuse = Side Adjacent / Cos(C)

Hypotenuse = 18 / Cos(C)

Hypotenuse = 18 / 0.6561

Hypotenuse = 27.437

User Kenshi
by
3.4k points