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Application of Trigonometric Ratios:
Exercise:
Calculate the height of a tree knowing that if we stand 8 meters from the base of the trunk, we see the top of its crown at an angle of 60° and our height is 1,60 meters.

Sagot :

sqdancefan

9514 1404 393

Answer:

  15.46 m

Step-by-step explanation:

Side ratios of a 30°-60°-90° triangle are 1 : √3 : 2. That is, the height of the tree above eye-height is √3 times the distance from the trunk. The top of the crown will be at a height of ...

  1.6 m + (8 m)√3 ≈ 15.46 m

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