IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mga maaasahang sagot. Makakuha ng impormasyon mula sa aming mga eksperto, na nagbibigay ng detalyadong sagot sa lahat ng iyong mga tanong.

A force of 200 N at 30° angle to the horizontal is used to drag an object 25 meters along the floor. Assuming that friction is zero, the amount of work done is best represented by ______.
a. cos 30° (25 meters) x 200 N
b. tan 30° (200 N) x 85 meters
c. sin 30° (25 meters) x 200 N
d. cos 30° (200 N) x 25 meters


Sagot :

To produce work, force must be parallel to distance therefore, the answer is d.

Let me do a proof to let you remember quickly:
[tex]sin\theta = \frac{x}{hypotenuse}[/tex]
We know from trigonometric identity of tangent function is

[tex]tan\theta = \frac{sin\theta}{cos\theta} [/tex]

To let you remember quickly, let me prove it to you that:

[tex]tan\theta= \frac{sin\theta}{cos\theta}= \frac{y}{x} [/tex]

(Please be guided by the picture I uploaded)

[tex]tan\theta=\frac{sin\theta}{cos\theta}[\tex] ; [tex] cos\theta= \frac{adjacent}{hypotenuse}[/tex] ; [tex]sin\theta= \frac{opposite}{hypotenuse} [/tex] ; [tex]opposite = y[/tex] ; [tex]adjacent=x[/tex]
[tex]\therefore tan\theta=\frac{ \frac{y}{hypotenuse} }{ \frac{x}{hypotenuse} } [/tex]
[tex]tan\theta= \frac{y(hypotenuse)}{x(hypotenuse)}[/tex]
[tex]\therefore tan\theta= \frac{y}{x} [/tex]
View image DaneGil1996