Can someone plz help me?

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3 Answers
Mar 27, 2018

25 ft

Explanation:

The triangles are proportional. There is the small triangle (5 ft, 6 ft, hypotenuse). There is the larger triangle that includes the small triangle (30 ft, height).

That means the side lengths are proportional.

5/h=6/(30+6) rarr The side lengths of the small triangle over the side lengths of the large triangle, with h representing the unknown height.

Now, let's solve the proportion:

5/h=6/30 rarr Simplify the second fraction

5/h=1/5 rarr Cross multiply (multiply the h by 1, the 5 by 6) and set the products equal to each other

h=5*5

h=25 rarr This is the height

Mar 27, 2018

The height of the statue (h) is 25 feet.

Explanation:

Since the smaller triangle and the larger triangle are similar, we can set up a proportion between them.

Sometimes it is easier to say it out loud in English first:

"The ratio of the distance from the right point to the person (6 ft.) and the person's height (5 ft.)"

"is proportional to"

"the ratio of the distance from the right point to the statue (30 ft.) and the statue's height (h ft.)."

Now write down that proportion in math and solve for h:

(6" ft")/(5" ft")=(30" ft")/(h" ft")

(6color(red)cancelcolor(black)"ft")/(5color(red)cancelcolor(black)"ft")=(30color(red)cancelcolor(black)"ft")/(hcolor(red)cancelcolor(black)"ft")

6/5=30/h

Cross-multiply:

6h=30*5

6h=150

h=150/6

h=25

That's the answer. Hope this helped!

Mar 27, 2018

H = 25 ft

Explanation:

assume the height of the statue is h and set a proportion:
(height of the man / length of his shadow) = (height of the statue/ length of its shadow)
(5ft) / (6ft) = h/ (30ft)
then cross multiply
30ft * 5ft = h ft * 6ft
so, 150ft = 6h ft
H= (150 / 6) ft
H= 25 ft