Question

From an 80ft building the angle of elevation of the top of a taller building is 59 degrees and the angle of depression of the base of this building is 65 degrees determine the height of the taller building

Answer 1

Answer:

First we find the distance between the two buildings =

Step-by-step explanation:

$\frac{80}{ \tan(65) } = 37.3 ft$

then the upper part of the taller building =

$37.3 \times \tan(59) = 62 \: ft$

Now the total height of the taller building

$80 + 62 = 142 \: ft$