Math New Drill (Level 1) : Geometry (Plane figure) Problem 5 OTSUMA-2014

There are stairs in the place where ia 6m away from the pole that is set up in the ground vertically. 

One step of vertical length of these stairs is 50cm, and the horizontal length is 50cm. 

The top of the shadow of this pole is in the position of A in the figure. 

The length of the shadow of 70cm stick which is set up in the ground vertically is 1.75m. 

Find the length of the pole.


Answer
4.3 m

Solution
0.7 : 1.75 = 70 : 175 = 2 : 5 

PQ = 7 × 2/5 = 2.8 m 

The length of the pole is 1.5 + 2.8 = 4.3 m.