1. If a 76 ft. tree casts a shadow of 45 ft. long, what is the angle of elevation of the sum from the tip of the shadow? Given: Solution: Formula Used: Final Answer:
If we connect a line between the top of the tree and the shadow, this forms a right triangle; wherein the height of the tree is the side opposite to the required angle, and the shadow is the side adjacent to the required angle.
Since we know the side adjacent and side opposite to the required angle, using the trig function of tan to solve for the measure of angle is appropriate here. Plug in side opp, side adj:
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Verified answer
Answer:
Final Answer : The elevation of the angle is 59.4°
Step-by-step explanation:
Trigonometric ratio is related of the length of the sides in a right triangle to the triangles acute angle.
Given :
Formula Used :
Solution :
Sun ata yung sum natypo lang po ata?
Given: height of tree = 76 ft, shadow = 45 ft
Solution:
If we connect a line between the top of the tree and the shadow, this forms a right triangle; wherein the height of the tree is the side opposite to the required angle, and the shadow is the side adjacent to the required angle.
Since we know the side adjacent and side opposite to the required angle, using the trig function of tan to solve for the measure of angle is appropriate here. Plug in side opp, side adj:
tan(θ) = 76/45
θ = arctan(76/45) ≈ 59.37°
Formula Used: tan(θ) = side opp/side adj
Answer: 59.37°