A ranger station at a point R in a wilderness area is located 5.6 mi from a campground at point C (see figure). A camper hikes 4 mi in a linear path away from the campground to point H , and then shoots a flare straight up as a distress signal. The signal is seen from the ranger station such that ∠ H R C = 35 ° . To the nearest tenth of a mile, how far is the camper from the ranger station?
A ranger station at a point R in a wilderness area is located 5.6 mi from a campground at point C (see figure). A camper hikes 4 mi in a linear path away from the campground to point H , and then shoots a flare straight up as a distress signal. The signal is seen from the ranger station such that ∠ H R C = 35 ° . To the nearest tenth of a mile, how far is the camper from the ranger station?
Solution Summary: The author explains how the distance of the camper from the ranger station is given as two triangles Delta RCH.
A ranger station at a point
R
in a wilderness area is located
5.6
mi
from a campground at point
C
(see figure). A camper hikes
4
mi
in a linear path away from the campground to point
H
, and then shoots a flare straight up as a distress signal. The signal is seen from the ranger station such that
∠
H
R
C
=
35
°
. To the nearest tenth of a mile, how far is the camper from the ranger station?
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3. We'd like to know the first time when the population reaches 7000 people. First, graph the
function from part (a) on your calculator or Desmos. In the same window, graph the line y =
7000. Notice that you will need to adjust your window so that you can see values as big as
7000! Investigate the intersection of the two graphs. (This video shows you how to find the
intersection on your calculator, or in Desmos just hover the cursor over the point.) At what
value t> 0 does the line intersect with your exponential function? Round your answer to two
decimal places. (You don't need to show work for this part.) (2 points)
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