A shadow measures 88 m: d = 88 m.
The angle : α = 32°
We will use trigonometry:
h / d = tan α
h / 88 m = tan 32°
h / 88 m = 0.62489
h = 88 m * 0.62489
h = 54.9885 m ≈ 55 m
Answer: The approximate height of a building is 55 meters.
x=3.95
Explanation
From the given information we find that the triangle is right angled at C. CB is the base,AC is the height and AB is the hypotenuse.
Given that D is the hypotenuse of the hypotenuse AB.
BC=6
BD=4.2
AD=x
the height and the base of the triangle is given.
Using pythagoras theorem, we can find the hypotenuse AB.
D is the midpoint of AB
therefore AD=AB/2=
=3.905
x=3.905 cm
So to find the avrage u r going to add all the numbers then divide by the nuber of nubers u have there that will give u ur answer
This is an isosceles right triangle (AB = BC & ∠ B=90° - Given)
Then the angles at the base are equal and ∠ CAB = ∠ ACB = 45°
Theorem: Segment DE, joining the midpoints of 2 sides is:
1st) parallel to the 3rd side and
2nd) equal to half the measurement of the 3rd side
So if the 3rd side (hypotenuse) = 9 units, DE = 9/2 = 4.5 units
