Answer:
Building's shadow length = 180 feet.
Step-by-step explanation:
Given:
A 50-foot flagpole is at the entrance of a building that is 300 feet tall.
Its forms a right angled triangle from both ends,both of them are similar because the angle of the sun is the same at the same time of day.
From similar triangle property we can say that.
⇒ length of the building shadow times height of the flagpole's = length of the flagpole's shadow times height of the building
Or

Plugging the values in the above equation we have,
Let length of the building shadow ='x' feet
⇒ 
⇒ 
⇒ 
⇒ 
⇒
feet.
So the length of the building shadow is 180 feet.
112
suplementry angle add to 180 so 180_68=112
Answer:
48 and 32 6 hours clearing tables and 2 hours tutoring
Step-by-step explanation:
we can rewrite this as a fraction. we will use 1/10s because 80 can be divided by 8 which is in the problem. we then have to find out what two numbers add up to 8 but one is 3 times the other. 6 and 2 fit into this problem so we plug it into the equation and we write it as this 6x+4x=80 where x is 8. we get 48 and 32.
Square root of 6 times 16 will give us 39.19
The square root of 48 times 32 [which gives us 1536] is also equal to 39.19
The square root of 1536 is equal to 39.19
Hence, x is equal to 32
Hope this helped! :D