Use the figure below to answer the following questions a Wha

Use the figure below to answer the following questions. a. What is the value of alpha, the measure of the angel indicated (in degrees)? b. What is the value of theta, the measure of the angle indicated (in degrees)? theta = degrees c. What is the value of x? x = d. What is the value of y? y =

Solution

a) alpha : ; d = sqrt[ (5 -4.830)^2 + ( 1.294)^2 ]

= 1.305

sinalpha = 1.305/5 ; alpha = 15.13 deg

b) theta = arclength/ radius = 24.871/ 5 = 4.97 radians = 285 deg

c) Angle between radius throught point ( 5, 0) and ( x, y) = 360 - (285 +15.13) = 59.87 deg

So, x = rcos(-59.87) = 5cos59.87 = 2.5

d) y = rsin(-59.87) = -5sin(59.87) = - 4.32