+38 Franklin is standing 30 ft from the base of a building. The angle of elevation from his feet to the top of the building is 53°.
How tall is the building?
Answer as a decimal.
+2446 Use the trigonometric ratios to find the height of the building:
| \(\frac{\tan 53}{1}=\frac{x}{30}\) | The tangent trigonometric ratio compares the opposite angle and the adjacent angle. Cross multiply to isolate x. |
| \(30\tan 53ft=x\) | Use a calculator to approximate the height of the building |
| \(30 \tan(53)\approx39.8113ft\) | Of course, leave units in your final answer! |
One last note before you go!
Be sure that your calculator is in degree mode when doing this calculation!
+2446 Use the trigonometric ratios to find the height of the building:
| \(\frac{\tan 53}{1}=\frac{x}{30}\) | The tangent trigonometric ratio compares the opposite angle and the adjacent angle. Cross multiply to isolate x. |
| \(30\tan 53ft=x\) | Use a calculator to approximate the height of the building |
| \(30 \tan(53)\approx39.8113ft\) | Of course, leave units in your final answer! |
One last note before you go!
Be sure that your calculator is in degree mode when doing this calculation!
