An airplane is flying 100 km north and 185 km west of an airport. it is flying at a height of 7 km. what is the angle of elevation of the airplane, from the point of view of the airport?
+26382 An airplane is flying 100 km north and 185 km west of an airport. it is flying at a height of 7 km.
what is the angle of elevation of the airplane,
from the point of view of the airport?
\(\begin{array}{|rcll|} \hline \tan{\text{(angle of elevation) } } &=& \frac{7\ \text{km} } { \sqrt{ (100\ \text{km})^2 + (185\ \text{km})^2 } } \\ &=& \frac{7 } { 210.297408448 } \\ &=& 0.03328619241\\ \text{ angle of elevation } &=& \arctan(0.03328619241) \\ &=& 1.90645445031\dots ^{\circ} \\ \hline \end{array} \)
The angle of elevation of the airplane from the point of view of the airport is \(\approx \mathbf{1.9^{\circ}}\)
