Question

the angle elevation from the top of
building to
the to of another is 45 dgree.

The distance between the
feet of these two buildings is 40 root 2m.
What is the
distance between the top of the
two
buildings?​

Answer 1

Answer:

Distance between the top of the two buildings = 80 m

Step-by-step explanation:

Distance between the top of the two buildings -----> Hypotenuse

Distance between the foot of the buildings ------> Base (or adjacent side of 45°)

$\cos(45) = \frac{40 \sqrt{2} }{hypotenuse}$

$\frac{1}{ \sqrt{2} } = \frac{40 \sqrt{2} }{hypotenuse}$

$hypotenuse = 40 \sqrt{2} \times \sqrt{2}$

$hypotenuse = 80 \: m$

Distance between the top of the two buildings = 80 m