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Mumz [18]
3 years ago
9

2. A guy wire for a tree is 20 ft. long, making a 21o angle with the ground. How far is the base of the tree from a stake anchor

ing the wire?
Mathematics
1 answer:
Alenkasestr [34]3 years ago
3 0

Answer:

the base of the tree from a stake anchoring the wire is 18.7 ft long

Step-by-step explanation:

A guy wire for a tree is 20 ft. long, making a 21 degree angle with the ground.

It forms a right angle triangle. the hypotenuse of the triangle is 20 ft

The adjacent side of the given angle 21 degree is the base of the tree from a stake

Let x be the base length

cos(theta)=\frac{adjacent}{hypotenuse}

cos(21)=\frac{x}{20}

20cos(21)=x

x=18.7

the base of the tree from a stake anchoring the wire is 18.7 ft long

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