Question

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

Answer 1

72

Explanation:

Answer 2

Answer: Option 'C' is correct.

Explanation:

Since we have given that

Distance at which a bird watcher is away from the base of the tree= 45 feet

Length of the tree at the top of which he spots an oriole = 140 feet

As the figure shown below:

In ΔABC,

`\tan\theta=(AB)/(AC )\\\\\tan\theta=(140)/(45)=(28)/(9)\\\\\tan\theta=3.111\\\\\theta=72.12\textdegree=72\textdegree`

Hence, the angle of elevation from the bird watcher to the oriole will be

`72\textdegree`

Therefore, Option 'C' is correct.