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A 94-ft tree casts a shadow that is 110 ft long. What is the angle of elevation of the sun?

Respuesta :

Answer:

Step-by-step explanation:

Setting up a diagram would be helpful here, so we should have the vertical leg representing the 84-ft. tree and the horizontal leg representing the 120 ft. shadow.  With the two measurements we are given, we should use the tangent ratio, opp/adj,  to set up an equation to solve for the angle of elevation. So the equation will be:

tan θ = 84/120.  Using the tan inverse function on the calculator, we have tan-1( 84/120) = θ and, rounding our decimal value to the nearest 10th, we have θ =35°.