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Sofhiabuendia03go
Answered

ACTIVITY 3: Illustrate and Solve! Consider the situation below:

1.You were flying a kite and got caught on the top of a tree. Your distance from the tree is 60 ft. How tall is the tree if the string of a kite makes a 25° angle on the ground?

Guide Questions:
1. Draw a figure that illustrates the situation.
2. What trigonometric ratio can be used to find the height of the tree? 3. Show your solution and label your answer. (3points)​

Sagot :

MakotoOrekigo

Answer:

[tex] \therefore [/tex] The height of the tree is approximately measures 27.96ft, if the string of a kite makes a 25° angle on the ground.

Step-by-step explanation:

To know how to is the tree, we are going to use the Trigonometric Ratio: TOA, which is written as,

  • [tex] \boxed{\bold{tan \theta = \frac{Opposite}{Adjacent}}} [/tex]

Let h be the height of the tree then substitute the givens to the ratio.

  • [tex] \rm{tan(25) = \frac{h}{60}}[/tex]

Change tan(25) in degrees/decimal then multiply both sides by 60

  • [tex] \rm{0.466 \cdot 60 = h} [/tex]
  • [tex] \rm{27.96 \approx h} [/tex]

[tex] \therefore [/tex] The height of the tree is approximately measures 27.96ft, if the string of a kite makes a 25° angle on the ground.

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