Chapter 9.10, Problem 15PSB

To determine

To find:The height of the taller building.

Answer to Problem 15PSB

The height of the taller building is $h=104\text{ dm}$

Explanation of Solution

Given information:The following values are given

The distance between two buildings is $100\text{ dm}$

The angle of depression is ${30}^0$

The angle of elevation is ${25}^0$

Formula used:Basic tangent definition has been used

Calculation:We know that the distance between two buildings is $100dm$ , hence we can say that

  $\tan {25}^0=\frac{x}{100\text{ dm}}$ , and

  $\tan {30}^0=\frac{y}{100\text{ dm}}$

Where the height of the taller building is

  $h=x+y$

Thus, from the above equations, we get

  $h=104\text{ dm}$