A10 meter ladder is inclined against a wall at an angle of elevation of 20°. if the top of the ladder reaches the top of the wall, how tall is the wall?

Wall's height = 3.42 m

Explanation:

Length of the ladder = 10 meter

Suppose height of the wall = h meter

"Please find the attached image"

One right angle triangle whose opposite side is h and hypotenuse is 10m

We use the trigonometric ratio

sin Θ =

sin Θ =

sin(20) =

0.3420 =

Solve for h

h = 0.3420 * 10

h = 3.42 m

Height of the wall is 3.42 m

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

part a: 1.08

part b: 27.59