Answer:
I'd say $18
Step-by-step explanation:
I cant really tell, but your best guess is $18
Answer:
Step-by-step explanation:
<em>Parallel lines divide the transversals proportionally.</em>
Set proportions and solve for k:
- k/24 = 64/32
- k/24 = 2
- k = 24*2
- k = 48
Correct choice is E.
Answer:
Height of the streetlight ≈ 8 ft(nearest foot)
Step-by-step explanation:
The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.
The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .
ab = 5.6 ft
The ratio of the base sides = 24/34
The ratio of the heights = 5.6/x
The two ratio are equal Therefore,
24/34 = 5.6/x
24x = 5.6 × 34
24x = 190.4
divide both side by 24
x = 190.4/24
x = 7.93333333333
x ≈ 8 ft
Height of the streetlight ≈ 8 ft(nearest foot)
The direction you are traveling to get back home is North
Answer:
The third side is sqrt(77)
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
2^2 + b^2 = 9^2
4+ b^2 = 81
Subtract 4 from each side
b^2 = 81-4
b^2=77
Take the square root of each side
sqrt(b^2) = sqrt(77)
b = sqrt(77)
The third side is sqrt(77)
