You are standing on top of a building looking down at your friend who is getting chased by a zombie. The building is 150 feet tall. When your friend looks up, the angle of elevation is 50°. When the zombie looks up at you, the angle of elevation is 25°.

a) 125.865 ft

b) 321.676 ft

c) 195.811 ft

Step-by-step explanation:

Given:-

- The height of the building, H = 150 ft

- The angle of elevation ( friend - top of building ), θ1 = 50°

- The angle of elevation ( zombie - top of building ), θ2 = 25°

Find:-

a) How far away is your friend from the building

b) How far away is the zombie from the building

c) How far away is the zombie from your friend

Solution:-

- We will consider the two right angle triangles with similar height ( H ) which denotes the height of the building.

- The distance your friend is from the building is ( x1 ) and looks up to the top of the building with angle of elevation of ( θ1 ).

- We can apply the trigonometric ratio for the right angle triangle formed between your friend, foot of the building and you ( on top of the building ):

                    tan ( θ1 ) = H / x1

                    x1 = H / tan ( θ1 )

                    x1 = 150 / tan ( 50° )

                    x1 = 125.865 ft    ... Answer ( a )

- The distance zombie is from the building is ( x2 ) and looks up to the top of the building with angle of elevation of ( θ2 ).

- Similarly, apply the appropriate trigonometric ratio for the right angle triangle formed between zombie, foot of the building and you ( on top of the building ):

                    tan ( θ2 ) = H / x2

                    x2 = H / tan ( θ2 )

                    x2 = 150 / tan ( 25° )

                    x2 = 321.676 ft    ... Answer ( b )    

- The distance between your friend and the zombie ( s ) can now be determined from subtracting the distance of your friend from the building from distance of the zombie from the building:

                    s = x2 - x1

                    s = 321.676 - 125.865

                    s =  195.811 ft    ... Answer ( c )              

the one below it is a function

yes

step-by-step explanation:

so of course you want to start by plugging the 5 in which goes to 7(5)+3(5)=50 because 7*5=35 and 3*5=15 and then add them together, then plug in the 5 to the other equation as well 9(5)+5=50 because 9*5= 45 and then add 5 and so yes they are equivalent.