Answer:
a = 32
Step-by-step explanation:
This is a right triangle and the square value of hypotenuse is equal to sum of square value of other two side lengths
68^2 = 60^2 + a^2
4624 = 3600 + a^2
4624 - 3600 = a^2
1024 = a^2 find the root for both sides
32 = a
Answer:
21.25 m
Step-by-step explanation:
y = Ax² + Bx + C
Set the origin at the middle of the span so that the point (0, 0) is on the curve
0 = A(0)² + B(0) + C means C = 0
The points (200, 85) and (-200, 85) are on the curve
85 = A(200)² + B(200)
85 = A(-200)² + B(-200)
85 - 40000A - B(200) = 85 - 40000A + B(200)
- B(200) = B(200)
-400B = 0
B = 0
85 = A(200)²
A = 85/40000
y = 85x²/40000
y = 85(100)²/40000 = 21.25 m
It is easy <span>for your audience to see what you are describing. Graphs and diagrams help get any point across clearer for mathematics :)</span>
<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.
cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
The remaining angle is equal to
angle = 180 - (90+49)
angle = 41
Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.
(A) 0.10 feet
(B) 0.05 feet</span>
