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Brad stands 30 feet from a tree. He estimates the angle of elevation from a point on the ground 30 feet from the tree to the top of the tree to be 60 degrees as shown.


Which of the following is closest to the height of the tree?

A15 feet
B30 feet

C)52 feet

D)60 feet


Please explain how you got your answer....

Brad stands 30 feet from a tree. He estimates the angle of elevation from a point on the ground 30 feet from the tree to the top of the tree to be 60 degrees as class=

Verified Answer :

theredmony33584

the answer is B) 30

vijayhalder031

The correct answer is Option(C) 52 feet

What are Trigonometric Ratios?

  • The ratios of sides of a right-angle triangle are known as trigonometric ratios.
  • The ratios are sin , cos , tan , cot , sec and cosec.

What is Angle of Elevation?

  • An angle that is formed between the horizontal line and the line of sight is known as angle of elevation.

How to Solve this Problem?

  • This problem can be solved by following steps
  • The distance of the brad given is 30feet from the tree.
  • The degree to the top of the tree given is 60°

So , Let us consider a triangle ABC

Where the distance of Brad from the tree would be AB and AC would be the height of the tree as shown in figure below having B as 60°

So , In ΔABC BC = 30 feet

AC = height of the tree

∴tan 60°=  \(\frac{AC}{BC}\)

∴\(\sqrt{3}=\frac{h}{30}\)

∴\(h= 30\sqrt{3}\)

∴ h = 51.9ft rounded off  to 52

Hence, the height of the tree is 52 feet

Learn more about angle of elevation here

https://brainly.com/question/88158

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View image vijayhalder031

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