Answer:
149 feet
Step-by-step explanation:
To find this answer, you will use the tangent ratio, tan=opp/adj.
I have a diagram at the end of the problem of what this angle would look like if you want some visuals.
First, you will plug in your given information into the tan ratio.
tan 71.5=x/50
Now, since x is the height of the tree, you need to get x alone. To do that, multiply 50 by both sides.
tan 71.5*50=x
Using your scientific calculator, press the tan sine and enter your tan measurement.
tan 71.5=2.988684963
Now put your new information into the formula and solve.
2.988684963*50=149.4342481
The tree is around 149 feet.
Trigonometry - It is the branch of mathematics which deal with the angles and sides with the help of its elements sine , cosine, cot, tan , cosec ,sec the and Thus to that question is 149feet.
Explanation:
base from where bird watcher is standing is of length 50 feet
and the angle made 71.5
Now according to the trigonometry
tan∅-71.5
tan ∅ -Perpendicular/ base
tan71.5- h/50
h -50*2.988
h-149 feet
Thus we conclude that height of the tree is 149 feet
To know more about elevation
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