Dr. black is standing 13 feet from a streetlamp. the lamp is making his shadow 9 feet long. he estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 50. to the nearest foot, the streetlamp is about

26 ft height

Step-by-step explanation:

The distance between the streetlamp and the tip of his shadow is 9 + 13 = 22 ft.

A rectangle triangle is formed in which one side is 22 ft long and the other side is the streetlamp height. The angle between the 22 ft side and the hypotenuse is 50°. From tangent definition:

tan(50°) = (streetlamp height)/(22 ft)

tan(50°) * (22 ft) = streetlamp height

26 ft  = streetlamp height

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!