Answer:
The height of the taller building is: 51.345m
Step-by-step explanation:
Given
The question has missing details (See attachment for the illustration of the complete question)
Required
The height of the tall building
The height, a, is calculated as:
[tex]a = b +c[/tex]
To solve for b, we consider the upper half of the attached image
The upper half is a right triangle.
Using tan formula, we have:
[tex]tan(31) = \frac{b}{30}[/tex]
Solve for b
[tex]b = 30 * tan(31)[/tex]
To solve for c, we consider the lower half of the attached image
Using tan formula, we have:
[tex]tan(48) = \frac{c}{30}[/tex]
Solve for c
[tex]c = 30 * tan(48)[/tex]
Recall that: [tex]a = b +c[/tex]
So:
[tex]a = 30 * tan(31) + 30 * tan(48)[/tex]
[tex]a = 30 * 0.6009 + 30 * 1.1106[/tex]
[tex]a = 18.027 + 33.318[/tex]
[tex]a = 51.345[/tex]
