In the right triangle ABC, AB = 2, BC = 4 and ED is a line parallel to AB. Find the angle a = angle BAD which minimizes the distance L, where L = AD + ED
In the right triangle ABC, AB = 2, BC = 4 and ED is a line parallel to AB. Find the angle a = angle BAD which minimizes the distance L, where L = AD + ED
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer number 1 asap.thank you
Transcribed Image Text:III Solve the ff. problems using trigonometric or inverse trigonometric functions
Show illustration, define variables used and give a detailed solutions.
1. In the right triangle ABC, AB = 2, BC = 4 and ED is a line parallel to AB. Find the
angle a = angle BAD which minimizes the distance L, where L = AD + ED
2. At what point on the line y =b does the line segment from (0,0) to ( a,0) subtend the
greatest angle.
3. Find the angle of the largest right circular cone which can be inscribed in a sphere of
radius 9 inches.
4. A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet
above the ground, how far should he stand from the base in order that the angle
between his lines of sight to the top and bottom of the statue is a maximum. (How far
should he stand to get the best view of the statue.
5. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in
width and into a corridor at right angles to the passageway. If the horizontal width of
the girder is neglected, how wide must the corridor be in order that the girder can go
around the corner?
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