MATH SOLVE

5 months ago

Q:
# A bird watcher is 45 ft from the base of a tree and spots an oriole at the top of the 140 ft tree. What is the angle of elevation from the bird watcher to the oriole? Round to the nearest whole degree . The answers are A. 17 B. 18 C. 72 D. 79

Accepted Solution

A:

Answer: Option 'C' is correct.Step-by-step explanation:Since we have given that Distance at which a bird watcher is away from the base of the tree= 45 feetLength of the tree at the top of which he spots an oriole = 140 feetAs the figure shown below:In ΔABC,[tex]\tan\theta=\frac{AB}{AC }\\\\\tan\theta=\frac{140}{45}=\frac{28}{9}\\\\\tan\theta=3.111\\\\\theta=72.12\textdegree=72\textdegree[/tex]Hence, the angle of elevation from the bird watcher to the oriole will be [tex]72\textdegree[/tex]Therefore, Option 'C' is correct.