Answer:
Height of the tree is approx 17.74 feet.
Step-by-step explanation:
the angle of elevation of the sun at 10:00 a.m. is 29°.
Then measure of angle C = 29°
At that point, a tree’s shadow is 32 feet long.
Then BC=32
Now we need to find about how tall is the tree.
So we can use trigonometric formula of right triangle to find missing height (x) of side AB.
[tex]\tan\left(C\right)=\frac{AB}{BC}[/tex]
[tex]\tan\left(29^o\right)=\frac{x}{32}[/tex]
[tex]\tan\left(29^o\right)=\frac{x}{32}[/tex]
[tex]0.55431=\frac{x}{32}[/tex]
[tex]0.55431*32=x[/tex]
[tex]17.73792=x[/tex]
Hence height of the tree is approx 17.74 feet.
