Most ironing boards can be adjusted to different heights. One ironing board, with a design similar to the one shown here, has legs that are each 110 cm long and are hinged at a point that is 40 cm from the top end of each. Possible working heights are 90 cm, 85 cm, 80 cm, 75 cm, and 70 cm. a. Make a sketch of the ironing board, labeling vertices of important triangles. Carefully explain why, for any of the working heights, the surface of the ironing board is parallel to the floor. b. For a working height of 90 cm, determine the distance between the two points at which the legs connect to the ironing board. Find the measures of the angles of the top triangle.
Most ironing boards can be adjusted to different heights. One ironing board, with a design similar to the one shown here, has legs that are each 110 cm long and are hinged at a point that is 40 cm from the top end of each. Possible working heights are 90 cm, 85 cm, 80 cm, 75 cm, and 70 cm. a. Make a sketch of the ironing board, labeling vertices of important triangles. Carefully explain why, for any of the working heights, the surface of the ironing board is parallel to the floor. b. For a working height of 90 cm, determine the distance between the two points at which the legs connect to the ironing board. Find the measures of the angles of the top triangle.
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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Transcribed Image Text:Most ironing boards can be adjusted to
different heights. One ironing board,
with a design similar to the one shown
here, has legs that are each 110 cm
long and are hinged at a point that
is 40 cm from the top end of each.
Possible working heights are 90 cm,
85 cm, 80 cm, 75 cm, and 70 cm.
a. Make a sketch of the ironing board,
labeling vertices of important
triangles. Carefully explain why, for any of the working heights, the surface
of the ironing board is parallel to the floor.
b. For a working height of 90 cm, determine the distance between the two
points at which the legs connect to the ironing board. Find the measures of
the angles of the top triangle.
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