A railroad bridge over New Scotland Road in Slingerlands, New York, has a low clearance for trucks. An engineer standing 20 ft away measures a 15.4 ° angle of elevation from her eye level of 5.5 ft to the bottom of the bridge. If the road is flat between the engineer and the bridge, how high over the roadway is the bottom of the bridge? Round to the nearest inch.
A railroad bridge over New Scotland Road in Slingerlands, New York, has a low clearance for trucks. An engineer standing 20 ft away measures a 15.4 ° angle of elevation from her eye level of 5.5 ft to the bottom of the bridge. If the road is flat between the engineer and the bridge, how high over the roadway is the bottom of the bridge? Round to the nearest inch.
Solution Summary: The author calculates the height of a roadway from the bottom of the bridge. An engineer measures an angle of elevation from her eye level, which is 5.5ft.
A railroad bridge over New Scotland Road in Slingerlands, New York, has a low clearance for trucks. An engineer standing
20
ft
away measures a
15.4
°
angle of elevation from her eye level of
5.5
ft
to the bottom of the bridge. If the road is flat between the engineer and the bridge, how high over the roadway is the bottom of the bridge? Round to the nearest inch.
x
The function f is shown below. If I is the function defined by g(x) = √ ƒ(t) dt, find the value of g"(-8) in simplest form.
g
-1
8
y
7
10
6
LC
5
4
3 2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3
-1
-2
-3
-4
-5
56
-6
-7
-8
4 5
Graph of f
10
6
00
7 8
9 10
x
The function f is shown below. If g is an antiderivative of f such that g(6) = 2, what is the maximum value of g on the closed interval
[-9,9]?
8
7
6
Сл
5
4
3
1
y
Graph of f
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
23 4
-1
-2
-3
-4
-6
56
-5
-7
-8
LO
5
9
7
8
9
10
x
The function of is shown below. If I is the function defined by g(x) = [* f(t)dt, write the equation of the line tangent to the graph of 9
at x = -3.
g
y
Graph of f
8
7
6
5
4
32
1
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3 4
5
6
7
8
9 10
-1
-2
-3
56
-6
-7
-8
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