Answer:
12 in
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = h(b₁ + b₂ )
where h is the height and b₁, b₂ the parallel bases
Given h = 6, b₁ = 8 and A = 60 , then
× 6 × (8 + b₂ ) = 60 , that is
3(8 + b₂ ) = 60 ( divide both sides by 3 )
8 + b₂ = 20 ( subtract 8 from both sides )
b₂ = 12
The length of the second base is 12 inches
Answer:
Center: (-9, -7)
Radius: 5
Step-by-step explanation:
Answer: approximately 49 feets
Step-by-step explanation:
The diagram of the tree is shown in the attached photo. The tree fell with its tip forming an angle of 36 degrees with the ground. It forms a right angle triangle,ABC. Angle C is gotten by subtracting the sum of angle A and angle B from 180(sum of angles in a triangle is 180 degrees).
To determine the height of the tree, we will apply trigonometric ratio
Tan # = opposite/ adjacent
Where # = 36 degrees
Opposite = x feets
Adjacent = 25 feets
Tan 36 = x/25
x = 25tan36
x = 25 × 0.7265
x = 18.1625
Height of the tree from the ground to the point where it broke = x = 18.1625 meters.
The entire height of the tree would be the the length of the fallen side of the tree, y + 18.1625m
To get y, we will use Pythagoras theorem
y^2 = 25^2 + 18.1625^2
y^2 = 625 + 329.88
y^2 = 954.88
y = √954.88 = 30.9 meters
Height of the tree before falling was
18.1625+30.9 = 49.0625
The height of the tree was approximately 49 feets
I got 2 but this could be wrong. Hope this helps ;D