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A 14-foot tree casts an 18-foot shadow. Find the angle of elevation from the tip of the shadow to the top of the tree. Round the answer to the nearest tenth.

 Apr 3, 2015

Best Answer 

 #1
avatar+33666 
+5

The tangent of the angle is given by 14/18, so the angle is tan-1(14/18).

 

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{14}}}{{\mathtt{18}}}}\right)} = {\mathtt{37.874\: \!983\: \!651\: \!098^{\circ}}}$$

 

Angle of elevation = 37.9° to the nearest tenth of a degree.

.

 Apr 3, 2015
 #1
avatar+33666 
+5
Best Answer

The tangent of the angle is given by 14/18, so the angle is tan-1(14/18).

 

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{14}}}{{\mathtt{18}}}}\right)} = {\mathtt{37.874\: \!983\: \!651\: \!098^{\circ}}}$$

 

Angle of elevation = 37.9° to the nearest tenth of a degree.

.

Alan Apr 3, 2015

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