Donna wants to calculate the height of a tree. She finds the length of the tree's
shadow is 25 meters and the angle of elevation from the ground to the top of the tree
is 30°. Find the height of the tree to the nearest whole number.
Х
shadow

Respuesta :

The height of the tree as per sine of an angle in a right-angle triangle is 12.5 meters.

What is the sine of an angle in a right-angle triangle?

Sine of an angle in a right-angle triangle is the ratio of the height to the hypotenuse of that triangle.

Here, the tree and it's shadow forms a right-angle triangle along with the base.

Let, the height of the triangle is x.

The length of the height of the hypotenuse is 25 meters.

The angle of elevation from the ground to the top of the tree is 30°.

Therefore, sin (30)° = (x / 25)

⇒ 0.5 = (x / 25)

⇒ x = 0.5 × 25

⇒ x = 12.5

Therefore, the height of the tree is 12.5 meters.

Learn more about sine of an angle in a right-angle triangle here: https://brainly.com/question/15977788

#SPJ2