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
1 answer:
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
the base of the tree from a stake anchoring the wire is 18.7 ft long
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Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- For the vegetable, there are 5 options, hence
.
- For the starch, there are 3 options, hence
.
- The remaining dish is free, which means that there are 5 + 3 - 2 = 6 options, hence
.
Then:
N = 5 x 3 x 6 = 90.
There are 90 ways to choose the three side dishes.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866