Answer:
86.6
Step-by-step explanation:

Here, AB represents height of the building, BC represents distance of the building from the point of observation.
In the right triangle ABC, the side which is opposite to the angle 60 degree is known as opposite side (AB), the side which is opposite to 90 degree is called hypotenuse side (AC) and the remaining side is called adjacent side (BC).
Now we need to find the length of the side AB.
tanθ = Opposite side/Adjacent side
tan 60° = AB/BC
√3 = AB/50
√3 x 50 = AB
AB = 50√3
Approximate value of √3 is 1.732
AB = 50 (1.732)
AB = 86.6 m
So, the height of the building is 86.6 m
Answer:
4y is not a like term.
Step-by-step explanation:
Unlike the other variables, 4y has a y instead of an x. The numbers with an x variable can all be combined, but 4y can't be combined with an x variable.
Answer:
x = 40
Step-by-step explanation:
Here's a fun fact, all of those angles actually add up to 360 degrees!
How do we know this? Well if you were to draw a small arc between each of the lines, you would see that the arc would end up making a circle. And remember, circles have 360 degrees!
Now we can do some basic algebra. Add up all the angles and set that equal to 360.
(2x) + (x) + (3x + 20) + (2x+20) = 360.
8x + 40 = 360
8x = 320
x = 40
Hope this helped!
