Answer:
in right angled triangle ABC
by using Pythagoras law
h²=p²+b²
x²=7²+10²
x=√149=12.21cm
Let the side lenght of cube is a
voluem of cube= 0.008
a^3=0.008
a =0.2
side of lenght is 0.2
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
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
<u />
<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:
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