By using trigonometric relations, we will see that x = 9.97°.
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How to find the missing angle?</h3>
First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Where:
- θ = 26°
- Adjacent cathetus = k
- Opposite cathetus = 55ft.
Replacing that we get:
Tan(26°) = 50ft/k
Solving this for k, we get:
k = 55ft/tan(26°) = 112.8 ft
Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:
- angle = x
- opposite cathetus = 55ft
- adjacent cathetus = 112.8ft + 200ft = 312.8ft.
Then we have:
Tan(x) = (55ft/312.8ft)
Using the inverse tangent function in both sides, we get:
x = Atan(55ft/312.8ft) = 9.97°
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Answer:
DON'T PRES THAT LINK THAT IS A HACK AND VIRUS
Step-by-step explanation:
HOPE THIS LETS YOU REMEMBER ABOUT NOT PRESSING THESE LINKS!
Hello! So Carlos' sister reads an average of 24 pages in 1 hour. He reads 144 pages in 3 hours. To find the unit rate Carlos reads, let's do some division. 144/3 is 48. Carlos reads an average of 48 pages in 1 hour. If you use mental math, 48 is double the amount of 24. 200% is just simply 2. 24 * 2 is 48. D is the only one that shows an answer that even fits for this scenario. Carlos' average reading rate is 200% of his sister's. The answer is D: 200%.
Answer:
Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten
Step-by-step explanation:
It is a whole number and integer.