7. Find the values of x and y
60°
y у
7
30°
Х

x = 12.124

y = 14

Step-by-step explanation:

In a 30, 60, 90 triangle, the side opposite the 30° angle is half the length of the hypotenuse. So y = 14.

7/sin(30) = 14

You can use the Pythagorean Theorem to calculate x.

14^2= 7^2 + x^2

196 - 49 = x^2

147 = x^2

sr/rt 147 = sq/rt x^2

12.124 = x

Or with trig

7/tan(30)= 12.124

a - base

b - exponent

so,

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm