Question

A surveyor is surveying a street. The surveyor is standing at point Plooking down the street at a No Parking sign at point D and a Stop sign at point B. Given PD = 5X-3 meters, PB = 21 meters, DB = 10 meters, and point D is between P and B, what is x in meters?

Answer 1

To find the value of x, we setup a proportion between the triangles and solve for x.

Step-by-step explanation:

To find the value of x, we can use the concept of similar triangles. Let's set up a proportion between the triangle PDB and the triangle PB'A' (similar triangles):

PD / DB = PB' / B'A'

Substituting the given values, we get:

(5x-3) / 10 = 21 / (50-10)

Solving for x:

(5x-3) / 10 = 21 / 40

Cross multiplying, we have:

40(5x-3) = 10(21)

Now, simplifying the equation:

200x - 120 = 210

200x = 330

x = 330 / 200

x = 1.65

Therefore, x = 1.65 meters.