Isosceles triangles were used as the main geometric figure in the patches used to make a tent. The equal sides of these isosceles triangles were made to have a constant length of 6.7 ft. Varying sizes of the tent would mean a varying number of isosceles triangles needed. If the angle between the equal sides of the isosceles triangle increases at the rate of 8 rad/sec, determine the rate at which the area of the triangle is increasing when the angle is 75°. Enclose in boxes the function generated from this problem together with its derivative. These should be included in the summary of answers.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...
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Isosceles triangles were used as the main geometric figure in the patches used
to make a tent. The equal sides of these isosceles triangles were made to have
a constant length of 6.7 ft. Varying sizes of the tent would mean a varying
number of isosceles triangles needed. If the angle between the equal sides of
the isosceles triangle increases at the rate of 8 rad/sec, determine the rate at
which the area of the triangle is increasing when the angle is 75°. Enclose in
boxes the function generated from this problem together with its derivative.
These should be included in the summary of answers.
Transcribed Image Text:Isosceles triangles were used as the main geometric figure in the patches used to make a tent. The equal sides of these isosceles triangles were made to have a constant length of 6.7 ft. Varying sizes of the tent would mean a varying number of isosceles triangles needed. If the angle between the equal sides of the isosceles triangle increases at the rate of 8 rad/sec, determine the rate at which the area of the triangle is increasing when the angle is 75°. Enclose in boxes the function generated from this problem together with its derivative. These should be included in the summary of answers.
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