Answer:
x = 14
Step-by-step explanation:
As we can see that the bottom side is equivalent to 3 of the smallest triangle and the side of the larger triangle is equivalent to the 9
This represents that it is dilated by 3 factor
So
= 3 × 3
= 9
Now the other side i.e. 5 of the smallest triangle also need to be dilated by a 3 factor
So the new side is 15
Also the largest triangle is x + 1
So,
15 = x + 1
x = 14
Answer:
Altitude of the plane is 0.5 miles.
Step-by-step explanation:
From the figure attached,
An airplane A is at height h miles observes a small airstrip at D and a factory at F, 4.8 miles apart from D.
Angle of depressions for the airstrip is 13.1° and the factory is 4.1°.
We have to calculate the airplane's altitude h.
From ΔABF,
tan4.1 =
h = 0.07168(x + 4.8) -----(1)
From ΔABD,
tan13.1 =
h = 0.2327x -----(2)
From equation (1) and (2),
0.07168(x + 4.8) = 0.2327x
0.2327x - 0.07168x = 4.8×0.07168
0.161x = 0.344
x = miles
From equation (2),
h = 0.2327×2.137
h = 0.4972 miles
h ≈ 0.5 miles
Therefore, 0.5 miles is the altitude of the plane.
