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
Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace Transformation and explain step-by-step.
12. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.508.XP.
ASK YOUR TEA
Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x + 16
dx
X
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13. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.512.XP.
ASK YOUR TEA
Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
dx
8)(2x + 1)
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14. [-/1 Points]
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SESSCALCET2 6.3.518.XP.
Find the area of the region under the given curve from 1 to 5.
y =
x² +7
6x - x²
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SESSCALCET2 6.3.012.
6. [-/1 Points]
Evaluate the integral.
x-4
dx
x²
- 5x + 6
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7. [-/1 Points]
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SESSCALCET2 6.3.019.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x²+1
(x-6)(x-5)²
dx
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8. [-/1 Points] DETAILS
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SESSCALCET2 6.3.021.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
✓
x²
4
+4
dx
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