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.
Answer:
10.5 inches
Step-by-step explanation:
The length of the longest diagonal is across two opposite points of the solid, namely
L = sqrt ( 6^2 + 5^2 + 7^2)
= sqrt (36+25+49)
= sqrt(110)
= 10.5"
Answer:
1
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
The time commuting between home and work is 6mi
Probability (the engineer is at least 2mi from home) means that the engineer is either 2mi from home or more than 2mi from home
Probability (the engineer is 2mi from home) = 2/6
Probability (the engineer is more than 2mi from home) = 1 - 2/6 = (6-2)/6 = 4/6
Probability (the engineer is at least 2mi from home) = 2/6 + 4/6 = 6/6 = 1
The answer is C
9 - 4 = 5
5 is equal to 5
13 - 4 = 9
9 is greater than 5
The symbol means greater than or equal to