BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter C, Problem 16E
To determine

To find: The length of the side x to five decimal places.

Expert Solution

Answer to Problem 16E

The length of the side is x19.15111 cm.

Explanation of Solution

Result used:

For an acute angle θ the trigonometric functions are defined as ratios of lengths of sides of a right triangle as follows.

sinθ=opphyp,cscθ=hypopp,cosθ=adjhyp,secθ=hypadj,tanθ=oppadj and cotθ=adjopp.

Calculation:

From the given figure, cos40=adjhyp=x25.

Simplify the expression cos40=x25 and obtain the length of the side.

cos40=x25x=(cos40)25x19.15111

Thus, the length of the side is x19.15111 cm.

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