Answer
$1199$ m at $25.7^{\circ}$ from east
Work Step by Step
The question asks for the distance between the turning point and the camp. We can find the leg of the triangle by subtracting 1430 from 1950. This gives 520. The second leg of the triangle is equal to 1080. To find the distance we can use the pythagorean theorem.
$x^{2}=1080^{2}+520^{2}$
$x=1199$ m
To find the angle we can use tangent in the triangle.
$tan\theta=\frac{1080}{520}$
$\theta=64.3^{\circ}$
We subtract this angle from 90 degrees to find the angle from east.
$90^{\circ}-64.3^{\circ}=25.7^{\circ}$
