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.
Answer:
step 3
Step-by-step explanation:
in step 3, he wrote that the sum of 171+ 52.45-18.50 was 241.95 when it is 199.95
Answer:
x=4, y=-3. (4, -3).
Step-by-step explanation:
5x+4y=8
2x-3y=17
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2(5x+4y)=2(8)
-5(2x-3y)=-5(17)
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10x+8y=16
-10x+15y=-85
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23y=-69
y=-69/23
y=-3
5x+4(-3)=8
5x-12=8
5x=8+12
5x=20
x=20/5
x=4
Step-by-step explanation:
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