Question

Can someone plz help me?

Answer 1

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

Answer 2

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!

Answer 3

`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`