By using trigonometric relations, we will see that x = 9.97°.
<h3>
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:
x=2
Step-by-step explanation:
Hint use m a t h w a y. Its a algebra problem solver.
Answer:
x = 12.1
Step-by-step explanation:
20 − (z + 7) = 0.9
Distribute the minus sign
20 -x -7 = .9
Combine like terms
13 -x = .9
Subtract 13 from each side
-x = -12.1
x = 12.1
Answer:
64=boys
Step-by-step explanation:
Boys to girls
4:5
80=girls
80÷5=16×4=64