Answer:
triangle 1, triangle 3,
Step-by-step explanation:
Triangle 1= 
Triangle 2= is wrong
Triangle 3= 
Triangle 4= is wrong.
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
First divided 140 by 100 to find out how much 1 percent is
140 ÷ 100 = 1.4
multiply 1.4 by 45 to find 45 %; 1.4 x 45 = 63
then add 63, which is 45%, to 140, which is 100%, and you get 203, which is 140 + 45%, or 145%
please mark brainliest if this helped you. I hope it did!
Answer:
8m
Step-by-step explanation:
x = hypotenuse since they want the point of observation to the top of the tree
cos 60 = 4/x
x = 4 / cos 60
x = 8m
