Answer:
- x=162.2 ft
- y=221.8 ft
- z=162.2 ft
Explanation:
Solution:
For Lower left right angled triangle:
It is an isosceles right angled triangle cause one angle is 90-45=45°.
Remaining angle also be 45°
If two angles of triangle are equal than it is an isosceles triangle.
Therefore, x=z.
Pair of corresponding two side of isosceles triangle are equal.
Hypotenuse= 230 ft
We can use Pythagoras formula


x=162.634 ft
z=162.634 ft
For Upper right right angled triangle:
angle of elevation=20 degree
Adjacent=219.203
Opposite= a let
Now , we have

Tan 20=a/162.63456
a=Tan 20*162.63456
a=59.2
Now
Value of y= x+a= 162.63456 ft + 59.2 ft=221.8
Therefore,
x=162.2 ft
y=221.8 ft
z=162.2 ft