Answer #8 only.You may use trigonometric or inverse trigonometric functions 7. Two sides of a triangle are 15 and 20 ft long, respectively.a) How fast is the third side increasing if the angle between the given sides is 60°and is increasing at the rate of 2° per sec.b) How fast is the area increasing?8. A silo consists of a right circular cylinder surmounted by a hemisphere. Find the mosteconomical proportions for the silo, if the walls cost Php 5/sq in, the floor costsPhp10 /sq in and the roof costs Php 15/sq in.

Solution-8 Given: Walls cost PHP=5/sq The floor costs PHP =10/ sq The roof costs PHP=15/sq in…

8. A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical proportions for the silo, if the walls cost Php 5/sq in, the floor costs Php10 /sq in and the roof costs Php 15/sq in.

8. A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical proportions for the silo, if the walls cost Php 5/sq in, the floor costs Php10 /sq in and the roof costs Php 15/sq in.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality

Section: Chapter Questions

Problem 38A

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Concept explainers

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.

Question

Answer #8 only.

You may use trigonometric or inverse trigonometric functions

7. Two sides of a triangle are 15 and 20 ft long, respectively.
a) How fast is the third side increasing if the angle between the given sides is 60°
and is increasing at the rate of 2° per sec.
b) How fast is the area increasing?
8. A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most
economical proportions for the silo, if the walls cost Php 5/sq in, the floor costs
Php10 /sq in and the roof costs Php 15/sq in.

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