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:
7
Step-by-step explanation:
and you plug that in your calculator to get about -0.27465307216702742285.
Rashid and Megan need 40 felt patches.
Step-by-step explanation:
Draw a table with number of costumes in the first row and the number of felt patches in the second row.
Note that for 1 costume, 5 felt patches are needed.
For 2 costumes, 10 felt patches are needed
For 3 costumes, 15 felt patches are needed and so o.
So, the pattern in the table is whenever there is 1 increase in the costumes, there are 5 numbers increase in felt patches.
From the table, we can easily identify that the 8 costumes need 40 felt patches.
Hence, Rashid and Megan need 40 felt patche