INFORMATION:
We knot that
- An observer (O) is located at 400 feet from a building (B)
- The observer notices a kite (K) flying at a 29° angle of elevation from his line of site
And we must find how high the kite is flying over the building
STEP BY STEP EXPLANATION:
To find it, we need to use the given information, which is the angle of elevation and the distance between the observer and the building.
As we can see in the picture, we have a right triangle, so we can use the trigonometric functions to find h.
Since we have an angle of 29°, and we also know its adjacent side, we can calculate its opposite side (h) using tanθ
[tex]tan\theta=\frac{opposite}{adjacent}[/tex]Where θ is the angle,
In our case θ = 29°, opposite = h and adjacent = 400 feet
Now, replacing in the formula
[tex]tan29=\frac{h}{400}[/tex]Now, solving for h
[tex]\begin{gathered} h=tan29\cdot400 \\ h=221.7236\text{ feet} \end{gathered}[/tex]Finally, the kite is flying 221.7236 feet above the building
ANSWER:
the kite is flying 221.7236 feet above the building