Question 502757
Joey and Sally are on a hiking trip. It will be dark in 1.5 hours.
 They have to decide whether to stop for the night or hike to the camp site at the base of a tower they can see in distance.
 They know the height of the tower is 315 metres and they use a clinometer to determine the angle of elevation to the top of the tower is 4.
:
Use the tangent of 4 degrees to find the distance (d) to the tower (side adjacent) and side opposite = 315
tan(4) = {{{315/d}}}
d = {{{315/tan(4)}}}
d = 4507.71 meters ~ 4.5 km to the base of the tower
:
Joey and Sally have been walking at 3.5 km/hr . 
Should they stop for the night or continue walking?
:
they are about 4.5 km from the tower, find the time to walk this dist at 3.5 km/hr
{{{4.5/3.5}}} = 1.287 hrs, they should make it with about 13 min to spare