A helicopter is on a path directly overhead line A B when it is simultaneously observed from locations A and B separated by 900 ft . The angle of elevation from A is 42 ° 30 ' and the angle of elevation from B is 30 ° 12 ' . a. What is the distance from each location to the helicopter? Round to the nearest foot. b. How high is the helicopter from the ground at the moment of observation? Round to the nearest foot.
A helicopter is on a path directly overhead line A B when it is simultaneously observed from locations A and B separated by 900 ft . The angle of elevation from A is 42 ° 30 ' and the angle of elevation from B is 30 ° 12 ' . a. What is the distance from each location to the helicopter? Round to the nearest foot. b. How high is the helicopter from the ground at the moment of observation? Round to the nearest foot.
Solution Summary: The author calculates the distances from the locations A and B to the helicopter, using the unit conversion factor (1°60
A helicopter is on a path directly overhead line
A
B
when it is simultaneously observed from locations
A
and
B
separated by
900
ft
. The angle of elevation from
A
is
42
°
30
'
and the angle of elevation from
B
is
30
°
12
'
.
a. What is the distance from each location to the helicopter? Round to the nearest foot.
b. How high is the helicopter from the ground at the moment of observation? Round to the nearest foot.
Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
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