The accompanying diagram shows a flagpole that stands on level ground. Two cables, r and s, are attached to a pole at a point 20 feet above the ground. The combine length of the two cables
is 70 feet. If cable r is attached to the ground 8 feet from the base of the pole, what is the
measure of the angle, x, to the nearest degree, that cable s makes with the ground?

x =

Step-by-step explanation:

r + s = 70 feet

Applying Pythagoras theorem to the triangle formed by cable r;

= +

= +

= 400 + 64

   = 464

r =

 = 21.541

Length of cable r is 21.54 feet.

So that,

r + s = 70 feet

21.54 feet + s = 70 feet

s = 70 feet - 21.54 feet

  = 48.46 feet

Length of cable s is 48.46 feet.

Applying trigonometric function to the triangle formed by cable s, we have;

Sin θ =

Sin x =

        = 0.4127

x = 0.4127

  = 24.3746

x =

The measure of angle that s makes with the ground is approximately .

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

step-by-step explanation: