CBSE Class 10CBSE
Share
Notifications

View all notifications

The heights of two poles are 80 m and 62.5 m. If the line joining their tops makes an angle of 45º with the horizontal, then find the distance between the pole - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

The heights of two poles are 80 m and 62.5 m. If the line joining their tops makes an angle of 45º with the horizontal, then find the distance between the pole

Solution

Let AB and CD be the poles such that

AB = 80 m and CD = 62.5 m.

Draw DE ⊥ AB. Then, ∠EDB = 45º

Now, BE = AB – AE = AB – CD = 17.5

`\frac{DE}{BE}=\text{cot }45^\text{o}=1`

⇒ DE = BE = 17.5 m

  Is there an error in this question or solution?
Solution The heights of two poles are 80 m and 62.5 m. If the line joining their tops makes an angle of 45º with the horizontal, then find the distance between the pole Concept: Heights and Distances.
S
View in app×