Practice Quiz

IB Mathematics SL Prep

Category - IB Mathematics

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At a certain time of the day, a fir tree casts a shadow 79 ft long. From the tip of the shadow, an angle from the horizontal to the top of the tree is approximately 35°. What is the height of the fir tree to the nearest foot?
  1. 44 ft
  2. 55 ft
  3. 55.32 ft
  4. None of the above
Explanation
Answer: B - The height of the fir tree to the nearest foot is 55 ft.

Solution

Use the equation tan ? = opposite/adjacent

Where ? = 35°

Adjacent = 79 ft

Opposite = tangent 35° x 79 ft

= (0.700) x 79 ft

= 55.32 ft -> rounded to 55 ft
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