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# A vertical pole is 15 ft high

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A vertical pole is 15 ft high and the length of its shadow is 20 ft. What is the angle of elevation of the sun rounded to the nearest tenth of a degree?

Guest Jul 16, 2018

#1
+20025
+2

A vertical pole is 15 ft high and the length of its shadow is 20 ft.

What is the angle of elevation of the sun rounded to the nearest tenth of a degree?

$$\begin{array}{|rcll|} \hline \tan(\text{elevation}) &=& \dfrac{15\ \text{ft.} }{20\ \text{ft.} } \\\\ &=& \dfrac{3}{4} \\\\ &=& 0.75 \\\\ \text{elevation} &=& \arctan(0.75 ) \\ &=& 36.8698976458^{\circ} \\ &=& 36.9^{\circ} \\ \hline \end{array}$$

heureka  Jul 17, 2018
#1
+20025
+2

A vertical pole is 15 ft high and the length of its shadow is 20 ft.

What is the angle of elevation of the sun rounded to the nearest tenth of a degree?

$$\begin{array}{|rcll|} \hline \tan(\text{elevation}) &=& \dfrac{15\ \text{ft.} }{20\ \text{ft.} } \\\\ &=& \dfrac{3}{4} \\\\ &=& 0.75 \\\\ \text{elevation} &=& \arctan(0.75 ) \\ &=& 36.8698976458^{\circ} \\ &=& 36.9^{\circ} \\ \hline \end{array}$$

heureka  Jul 17, 2018