Trigonometric ratios are useful in calculating the side lengths of a triangle.
- The length of the zip line is 222.5 ft
- The height where the ladder rests against the tree is 38.6 ft
- The distance between the base of the ladder and that of the tree is 10.4 ft
- The distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft
<u>(a) Length, z</u>
First we calculate (h) using the following sine ratio
Make h the subject
Next, we calculate (z) using the following sine ratio
Make z the subject
Substitute
Hence, the length of the zip line is 222.5 ft
<u>(b) The height, h</u>
In (a), we have
Evaluate
Hence, the height where the ladder rests against the tree is 38.6 ft
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<u>(c) The distance, b</u>
To do this, we make use of the following sine ratio
Make b the subject
Hence, the distance between the base of the ladder and that of the tree is 10.4 ft
<u />
<u>(d) Distance, B</u>
To do this, we make use of the following sine ratio
Make B the subject
Substitute
Hence, the distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft
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Read more about trigonometry ratios at:
brainly.com/question/24888715
Answer:
2/9
Step-by-step explanation:
What if it help 9 gallons? then it's pretty obvious 9 people would each get one.
The idea is that you want to divide the total by 9 since you are dividing the total among 9 people. The total is 2 gallons so divide it by 9
Answer:
7 inches
Step-by-step explanation:
56/8=7
Area/length=width
By long division.Feel free to ask me if you don't know: )
Angles 1 & 3 have to be equal by the opposite angle theorem. Angles 2 & 4 also have to be equal because of this theorem.
Therefore, you set 2 & 4 equal and solve for x.
7x + 7 = 140.
You should get x=19.
You now need to set 1 & 3 equal, but you aren't give angle 1.
You can find 1 because you know angle 1 + angle 2 = 180 degrees.
Therefore,
angle 1 is unknown (z)
angle 2 is equal to angle 4 which is 140 degrees.
140 + z = 180
z = 40
Now you set angle 3 to angle 1:
5y = 40
y = 8