To measure the width of a river, a ranger sights a tree across a river about 60 degrees north of east. On the map, her position is marked A. She then walks along the river to position B and sights the same tree at 40 degrees north of west. If each unit on the map is 1 mile, about how many miles from her current position is the tree? answer choices:
a) law of sines, the distance is about 3.0 miles
b) law of sines, the distance is about 3.6 miles
c) none of these answers are correct
d) law of cosines, the distance is about 3.0 miles
e) law of cosines, the distance is about 3.4 miles

answer: 40.95

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function

step-by-step explanation:

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