Question

Using his telescope tommy watches a bald eagle as it sits ono top of a cliff. The telescope is positioned so that the line of sight to the eagle forms a 38 degree angle of elevation. The telescope sets s1.3 m above the ground and the base of the telescope is 116 m from the base of the cliff. Round to the nearest tenth

Answer 1

Question :

How high above the ground is the eagle?

Answer:

91.9 m

Explanation:

From the diagram :

We can obtain h, using the trigonometric relation :

Tanθ = opposite / Adjacent

Opposite = h

Adjacent = 116

Tan 38° = h / 116

0.7812856 = h / 116

h = 0.7812856 * 116

h = 90.629132

Eagle's height above the ground :

h + 1.3m

h = 90.629132m

Height above the ground = 90.629132 + 1.3 = 91.9 m above the ground.