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Katarina [22]
2 years ago
14

Create height question about Grade 7

Mathematics
1 answer:
frez [133]2 years ago
4 0

Answer:

wdym like create a question about height that includes 'Grade 7' in it?

Step-by-step explanation:

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two points on the same side of a tree are 65 feet apart. the angles of elevation of the top the tree are 21 19 from one point an
zloy xaker [14]
The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are  21° 19' and 16°20'.

1) Convert the angles to decimal form:

19' * 1°/60' = 0.32° => 21° 19' = 21.32°

20' * 1°/60' = 0.33° => 16° 20' = 16.33°

2) Deduce the trigonometric ratios from the verbal information.

You can form a triangle with

- horizontal leg  x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h

=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)

You can form a second triangle with:

-  horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h
 
=> trigonometric ratio: tan(21.32) = h / x  => h = x * tan(21.32)

Now equal the two expressions for h:

(x+65)*tan(16.33) = x*tan(21.32)

=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet

=> h = 195.73 * tan(21.32) = 76.39 feet.

Answer: 76.39 feet
5 0
3 years ago
Cobalt-56 has a decay constant of 8.77 × 10-3 (which is equivalent to a half life of 79 days). How many days will it take for a
sweet-ann [11.9K]
As I read this one, is just a decay exponential equation... so

A = P(1 + r)ᵗ   where "t" is days passed. . hmm in this case is decay, so negative rate  A = P(1 - r)ᵗ, and the decimal amount would be 0.00877 for the rate

62% of P, the original value, is just 0.62P, now... if we hmm take P as just 1, it could be any amount, but 62% of 1,000,000 is just 62% of 1 times 1,000,000

so, for the sake of comparing it with a percentage, 1 will do

\bf 0.62P=P(1-0.00877)^t\implies P=1\implies 0.62=(1-0.00877)^t
\\\\\\
ln(0.62)=ln[(1-0.00877)^t]\implies ln(0.62)=t\cdot  ln(1-0.00877)
\\\\\\
\cfrac{ln(0.62)}{ln(0.99123)}=t
7 0
3 years ago
Find the quotient of 5/68
antoniya [11.8K]
Use a calculator 5/68 = 5 ÷ 68 = ______
7 0
3 years ago
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Find the area of the given figure.
marissa [1.9K]

84.6 km2 is the answer

6 0
3 years ago
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Write the point-slope form of an equation of the line through the points (-1, 4) and (-2, 2).
kozerog [31]

Answer:

Point-slope form: y-4=2(x+1)

Slope intercept form: y=2x+6

I hope this helps!

5 0
3 years ago
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