The telescope the cliff and the eagle will from a right tingle as you can see in the picture. The distance between the base of the cliff an the telescope will be the adjacent side of the elevation angle.
The opposite side of the elevation angle will be the height of the cliff 1.3 meters above the ground.
Now, to find the opposite side, [tex]a[/tex], of our elevation angle, we are going to use the trig function tangent:
[tex]tan(38)= \frac{a}{116} [/tex]
[tex]a=116tan(38)[/tex]
[tex]a=90.6[/tex]
Finally, we are going to add the height of the telescope and the height of the cliff above the ground:
[tex]90.6+1.3=91.9[/tex]
We can conclude that the eagle is 91.9 meters above the ground; therefore, the correct answer is B 91.9 m
