if a tree casts an 8 meter shadow, and the angle from the ground to the tree is 30 degrees, what is the approximate height of th

Question

Zigmanuir [339]

3 years ago

15

if a tree casts an 8 meter shadow, and the angle from the ground to the tree is 30 degrees, what is the approximate height of th

e tree?

Mathematics

1 answer:

Virty [35] · Answer 1 · 2022-03-04T13:41:02+03:00

Virty [35]3 years ago

3 0

Using SohCahToa, we can find the height of the tree. Let the tree height be h. 8m is adjacent to the 30° angle.
$\tan(30) = \frac{h}{8} \\ h = 8 \tan(30) \\ h = 4.62$
The answer is A) 4.6 m