picture is not drawn to scale.

howard is standing 91 yards from the bottom of a water reservoir. he estimates that the angle of elevation to the top of the water reservoir is about 50°. about how far is howard from the top of the water reservoir?
a.
58 yards
b.
119 yards
c.
142 yards
d.
76 yards

142 yards.

Step-by-step explanation:

See the attached diagram.

Let the reservoir is AC and Howard is standing at B and AB = 91 yards.

Now, the angle of elevation from B to the top of the reservoir C is 50°.

Then using trigonometry,

⇒ ≈ 142 yards.

Therefore, the distance of Howard from the top of the reservoir is 142 yards. (Answer)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is