The length of a shadow of a building is 27m. the distance to the top of the building to the tip of the shadow is 35m. find the height of the building. if necessary, round your answer to the nearest tenth.

22 meters

Step-by-step explanation:

Hello,  I can help you  with this,

you can solve this using  the Pythagoras theorem, wich says

states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and c

where

a is the  length of a side

b is the  length of the other side

c is the  length of a hypotenuse (the longest side of the right triangle)

in this case, we need to identify each side of the triangle

Step 1

Let

The length of a shadow of a building is 27m, this is  (a)

a=27 m

The distance to the top of the building to the tip of the shadow is 35m,this si the hypotenuse of the triangle(c)

the height of the building is the other side (b)

Step 2

we know a  and c, we need isolate  c from the equation

we are searching for a length, so we only will use the positive root

Step 3

put the values into the equation

so,  the height of the building is 22.27 m ≈22 m

I really hope it helps, have a very nice day.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).