Question

always use significant figure rules. remember that these rules apply to all numbers that are measurements. a skier descends a mountain at an angle of 35.0° to the horizontal. if the mountain is 235 m long, what are the horizontal and vertical components of the skiers displacement? (use trigonometry to solve.) x = y = 135 m 235 m 193 m

Explanation:

Step1: Definir fórmulas trigonométricas

La componente horizontal $x = d\cos\theta$ y la componente vertical $y = d\sin\theta$, donde $d = 235$ m es la distancia recorrida y $\theta=35.0^{\circ}$.

Step2: Calcular componente horizontal

$x = 235\cos(35.0^{\circ})$
$x = 235\times0.819152$
$x\approx193$ m

Step3: Calcular componente vertical

$y = 235\sin(35.0^{\circ})$
$y = 235\times0.573576$
$y\approx135$ m

Answer:

$x = 193$ m, $y = 135$ m