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°= [tex]\frac{AC}{BC}[/tex]
∴[tex]\sqrt{3}=\frac{h}{30}[/tex]
∴[tex]h= 30\sqrt{3}[/tex]
∴ h = 51.9ft rounded off to 52
Hence, the height of the tree is 52 feet
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