Question

a ladder 17m long reaches a window 8 m high on one side of the road. the ladder is then turned over to opposite side of the road and is found to reach another window 15 m high. find the width of the road​

Answer 1

Answer:

23

Step-by-step explanation:

by Pythagoras theorem

8^2+15^2=17^2

so 8+15=23

Answer 2

Answer:

• 23 m

Step-by-step explanation:

It is assumed the width of the street is the distance between the opposite buildings.

See the picture attached

It comprises of two parts:

x and y

Using Pythagorean theorem, lets find the value of x:

x? + 152 = 172

x2 = 289 - 225

x? = 64

• x = 8 m

Same rule for y:

y? + 8? = 172 y² = 289 64

-

y = 225

y = 15 m

The width of the street (road) is:

8 m + 15 m = 23 m