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?
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Find the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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