A person at ground level finds the angle of elevation to the top of a building is 40°. After
moving 50 feet further away from the building, the angle of elevation is 32°. What is the height of the building?

the height of the building is 122.4 feet.

Step-by-step explanation:

The diagram illustrating the scenario is shown in the attached photo.

Triangle ABC and DBC are right angle triangles.

h represents the height of the building.

Considering triangle ABC,

Tan θ = opposite side/adjacent side

Tan 32 = h/x

h = xtan32 = x × 0.6249

h = 0.6249x - - - - - - - - - - -1

Considering triangle DBC,

Tan θ = opposite side/adjacent side

Tan 40 = h/(x - 50)

h = tan 40(x - 50) = 0.8391(x - 50)

h = 0.8391x - 41.955- - - - - - - - - -2

Equating equation 1 and equation 2, it becomes

0.6249x = 0.8391x - 41.955

0.8391x - 0.6249x = 41.955

0.2142x = 41.955

x = 41.955/0.2142 = 195.87

Substituting x = 195.87 into equation 1, it becomes

h = 0.6249 × 195.87

h = 122.4

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6