Two residential buildings are to be constructed with a grassy recreational area between them. The taller building is 700 ft high. From the roof of the shorter building, the angle of elevation to the top of the taller building is 78 ° and the angle of depression to the base of the taller building is 62 ° . a. How tall is the shorter building? Round to the nearest foot b. What is the distance between the buildings? Round to the nearest foot
Two residential buildings are to be constructed with a grassy recreational area between them. The taller building is 700 ft high. From the roof of the shorter building, the angle of elevation to the top of the taller building is 78 ° and the angle of depression to the base of the taller building is 62 ° . a. How tall is the shorter building? Round to the nearest foot b. What is the distance between the buildings? Round to the nearest foot
Solution Summary: The author explains the angle of elevation from the shorter building to the top of the higher building is 78°. Then, draw a rough sketch for the considered conditions and label the sides and angles.
Two residential buildings are to be constructed with a grassy recreational area between them. The taller building is
700
ft
high. From the roof of the shorter building, the angle of elevation to the top of the taller building is
78
°
and the angle of depression to the base of the taller building is
62
°
.
a. How tall is the shorter building? Round to the nearest foot
b. What is the distance between the buildings? Round to the nearest foot
Let f be a function whose graph consists of 5 line segments and a semicircle as shown in the figure below.
Let g(x) = √ƒƒ(t) dt .
0
3
2
-2
2
4
5
6
7
8
9
10
11
12
13
14
15
1. g(0) =
2. g(2) =
3. g(4) =
4. g(6) =
5. g'(3) =
6. g'(13)=
The expression 3 | (3+1/+1)
of the following integrals?
A
Ов
E
+
+
+ +
18
3+1+1
3++1
3++1
(A) √2×14 dx
x+1
(C) 1½-½√ √ ² ( 14 ) d x
(B) √31dx
(D) So 3+x
-dx
is a Riemann sum approximation of which
5
(E) 1½√√3dx
2x+1
2. Suppose the population of Wakanda t years after 2000 is given by the equation
f(t) = 45000(1.006). If this trend continues, in what year will the population reach 50,000
people? Show all your work, round your answer to two decimal places, and include units. (4
points)
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