Question

question 8 of 10 a water skier is pulled behind a boat by a rope. the rope has a tension of 290 n and is at an angle of 33°. what is the x - component of the tension? a. 158 n b. 192 n c. 215 n d. 243 n

Explanation:

Step1: Recall component - formula

The formula for the x - component of a vector $\vec{F}$ with magnitude $F$ and angle $\theta$ with the x - axis is $F_x = F\cos\theta$.

Step2: Substitute values

Given $F = 290\ N$ and $\theta=33^{\circ}$, we have $F_x=290\times\cos(33^{\circ})$.
Since $\cos(33^{\circ})\approx0.8387$, then $F_x = 290\times0.8387\approx243\ N$.

Answer:

D. 243 N