+0

# Stephan is standing on a mesa at the Painted Desert. The elevation of the mesa is about 1380 meters and Stephan's eye level is 1.8 meters ab

0
626
1

Stephan is standing on a mesa at the Painted Desert. The elevation of the mesa is about 1380 meters and Stephan's eye level is 1.8 meters above ground. If Stephan can see a band of multicolored shale at the bottom and the angle of depression is 29 degrees, about how far is the band of shale from his eyes?

Guest Jul 14, 2015

#1
+18927
+10

Stephan is standing on a mesa at the Painted Desert. The elevation of the mesa is about 1380 meters and Stephan's eye level is 1.8 meters above ground. If Stephan can see a band of multicolored shale at the bottom and the angle of depression is 29 degrees, about how far is the band of shale from his eyes?

$$\small{\text{ \begin{array}{rcl} \sin{(29\ensurement{^{\circ}})} &=& \dfrac{1380~\mathrm{m}+1.8~\mathrm{m}}{s}\\\\ s &=& \dfrac{1380~\mathrm{m}+1.8~\mathrm{m}}{ \sin{(29\ensurement{^{\circ}})} }\\\\ s &=& \dfrac{ 1381.8~\mathrm{m} }{ 0.48480962025 }\\\\ \mathbf{s} & \mathbf{=} & \mathbf{2850.19 ~\mathrm{m}} \end{array} }}$$

The band of shale is 2850.19 m far from his eyes.

heureka  Jul 15, 2015
Sort:

#1
+18927
+10

Stephan is standing on a mesa at the Painted Desert. The elevation of the mesa is about 1380 meters and Stephan's eye level is 1.8 meters above ground. If Stephan can see a band of multicolored shale at the bottom and the angle of depression is 29 degrees, about how far is the band of shale from his eyes?

$$\small{\text{ \begin{array}{rcl} \sin{(29\ensurement{^{\circ}})} &=& \dfrac{1380~\mathrm{m}+1.8~\mathrm{m}}{s}\\\\ s &=& \dfrac{1380~\mathrm{m}+1.8~\mathrm{m}}{ \sin{(29\ensurement{^{\circ}})} }\\\\ s &=& \dfrac{ 1381.8~\mathrm{m} }{ 0.48480962025 }\\\\ \mathbf{s} & \mathbf{=} & \mathbf{2850.19 ~\mathrm{m}} \end{array} }}$$

The band of shale is 2850.19 m far from his eyes.

heureka  Jul 15, 2015

### 14 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details