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stiv31 [10]
3 years ago
14

1. A statue creates a shadow that is 30 ft long. The angle of elevation of the sun is 50°.

Mathematics
2 answers:
blondinia [14]3 years ago
5 0
Check the picture below

abruzzese [7]3 years ago
4 0
The diagram is left to you...

tanα=h/x

h=xtanα, we are told that x=30ft and α=50° so

h=30tan50 ft

h≈35.8 ft  (to nearest tenth of a foot)

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For the given sentences, the algebraic expressions are:

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For the first statement:

A 3-digit number, where the tens digit is c, can be written as:

N = 100*a + 10*c + b

Then the hundreds digit is a, and here we know that is 3 less than the tens digit, then:

a = c - 3

The ones digit is b, here we know that it is 0, then b = 0.

Replacing that in our number we get:

N = 100*(c - 3) + 10*c = 110*c - 300

N = 110*c - 300

That is the algebraic expression.

b) A two-digit number can be written as:

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Here we know that the units digit is twice as bit as the tens digit, then:

a = 2b

Replacing that we get:

N = b*10 + a = b*10 + 2b = 12*b

N = 12*b

That is the algebraic expression.

If you want to learn more about algebraic expressions:

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