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zalisa [80]
3 years ago
15

To measure the height of a tree, a surveyor walked a short distance from the tree and found the angle of elevation was 43.9°, th

en walked 20 feet farther and measured the angle of elevation to be 37.6°. Find the height of the tree.

Mathematics
1 answer:
padilas [110]3 years ago
4 0

Answer:

The height of the tree is H = 77.06 m

Step-by-step explanation:

From Δ ABC

AB = height of the tree

\tan 43.9 = \frac{AB}{BC}

\tan 43.9 = \frac{h}{x}

h = 0.9623 x ------- (1)

From Δ ABD

\tan 37.6 = \frac{h}{20+ x}

h = 0.77 (x + 20) ----- (2)

Equating Equation  1 & 2 we get

0.9623 x =  0.77 (x + 20)

0.9623 x = 0.77 x + 15.4

x (0.1923) = 15.4

x = 80.08 m

Thus the height of the tree is given by

H = 0.9623 x

H = 0.9623 × 80.08

H = 77.06 m

Therefore the height of the tree is H = 77.06 m

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3 years ago
Solving by elimination <br> 5x+2y= -3<br> 3x+3y=9<br> please help me solve x and y
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Answer: (-3,6)

Reasoning:
Step 1) In order to eliminate, first I had to multiple the first equation by -3 and the second by 2 so that when combining the equations y would cancel each other out so that I could solve for x. <em>Note: There are many combinations as to how you could multiple the equations so that either the x or y would cancel out.
</em>
Step 2) Once y is eliminated, solve for x.

Step 3) Now plug x back into one of the original equations and solve for y. <em>Note: Plug x back into one of the original equations, not the equations that were changed by multiplication,</em> 

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Answer and explanation:

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=7y+10b

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5 0
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