Answer:
100m^2
Step-by-step explanation:
area of trapezoid formula: 
b=base
so
base #1= 8
base #2= 12
h(height)= 10
(8+12)=20(sum of bases)
20/2=10(sum of bases over 2)
10*10=100(height * whats remaining of bases)
100m^2
hope this helps
Answer:
Midsegment of a Triangle Theorem
Step-by-step explanation:
Midsegment of a Triangle Theorem - is the right choice
- <em>The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.</em>
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Answer:
Height above the bottom gorge is 113 feet
Step-by-step explanation:
The width of the gorge = 40 feet
The height of the higher cliff = 158 feet
The height of the lower cliff = 98 feet
The length of the bridge = √((158-98)² + 40²) = 72.11 feet
The slope of the bridge = (158-98)/40 = 1.5
The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet
The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°
The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet
Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;
Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.
