Question

You stand 25 m from the base of a tree and the angle of elevation from the ground to the top of the tree is 48 degrees. How tall is the tree? *

Answer 1

Answer:

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Answer 2

Answer:

The height of the tree is 27.8

Step-by-step explanation:

Given:

• Height of the person = 25m
• Angle of elevation = 48 degree

To find: The height of the tree

Solution:

The height from the base of a tree and a person = 25m

Angle of elevation from the ground to top of the tree = 48 degree

Tall of the tree = x

Tangent:

• The ratio between the lengths of the neighboring side and the perpendicular of a right angle to the angle is known as the tangent.
• In trigonometry, the tangent function is used to determine the slope of a line between the origin and the point where the hypotenuse and altitude of a right-angle triangle intersect.

            Tan θ = Opposite side / Hypotenuse.

Opposite side = h

Hypotenuse side = 25 m

Angle of elevation tan θ = h / 25

⇒  tan 48 = h /25

⇒ 25 (tan 48) = h

⇒ 25 (1.1106) = h

⇒  27.76 = h

h = 27. 8 m

Final answer:

The height of the tree is 27.8 m

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