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.

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.
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