The light from a lamp casts a shadow of a man standing 10 feet away from the lamppost. the shadow is 7 feet long. the angle of elevation from the tip of the shadow to the lamp is 50. to the nearest foot, the lamppost is feet tall.

Lamppost is 20.26 ft. tall.

Step-by-step explanation:

In the figure attached. AB is the lamp post and DE is a man standing 10 ft away from the lamp post.

Therefore, in ΔABC,

term 50° =

term 50° =

1.192 =

AB = 17 × 1.192

= 20.26 ft.

Therefore, Lamppost is 20.26 ft. tall.

where is the image?

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3