The angle of elevation from the tip of a flagpole's shadow to the top of the flagpole is 63 degrees. The length of the shadow is 12 feet. How tall is the flagpole to the nearest tenth of a foot? When entering your answer, do not include units.

The flagpole is 20 ft high

Step-by-step explanation:

tan 63° = opposite side/adjacent side

⇒ Height of the pole = adjacent side × tan 63°

                                   = 12 tan 63° = 12 × 1.96 = 23.55 ft ≈ 20ft

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true