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zaharov [31]
3 years ago
10

a 50 ft pole has a support wire that runs from its top to the ground with an angle of depression of 75°. How far from the base o

f the pole does the wire connect to the ground?
Mathematics
1 answer:
lukranit [14]3 years ago
4 0
The height of the pole is the vertical leg of the right triangle. The angle of depression is an exterior angle to the triangle at its upper angle. The angle of depression is complementary to the interior angle, so the measure of the interior angle is 15. The base angles are 90 and 75. Use the tangent ratio now, using the base angle of 75 and the height of the pole being 50: tan75=50/x.
Make sure your calculator is in degree mode to do this and get that x = 13.4
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Which are the roots of the quadratic function f(b) = 62 – 75? Select two options.
elena55 [62]

Answer:

b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}

Step-by-step explanation:

Given

f(b) = b^2 - 75

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

0 = b^2 - 75

Add 75 to both sides

75 + 0 = b^2 - 75 + 75

75 = b^2

Take square roots of both sides

\sqrt{75} = \sqrt{b^2}

\sqrt{75} = b

Reorder

b = \sqrt{75}

Expand 75 as a product of 25 and 3

b = \sqrt{25*3}

Split the expression

b = \sqrt{25} *\sqrt{3}

b = \±5 *\sqrt{3}

b = \±5 \sqrt{3}

b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}

The options are not clear enough; however the roots of the equation are b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}

4 0
3 years ago
If you have a right triangle is 10 cm² and one of the legs is 4 cm find the length of the other leg
lesya [120]

If you are saying that the hypotenuse is 10 cm the you have to solve the following equation using the Pythagorean theory.

4^2 + b^2 = 10^2

16 + b^2 = 100

16 - 16 + b^2 = 100 - 16

b^2 = 84

Find \sqrt{84\\

5 0
3 years ago
Read 2 more answers
How do you check the answer for the division problem eight divided by three hundred?
lawyer [7]

Answer:

you multiply the quotient times the divisor and your awnser should be the same as the dividend

Step-by-step explanation:

7 0
2 years ago
Evaluate 4a-3b when a=5 and b=-2
den301095 [7]
4a - 3b

4(5) - 3(- 2)
20 + 6
26

26 is your answer. 
6 0
3 years ago
Read 2 more answers
i used the answer key to get my answer and checked it with my dumb useless teacher and it’s right but, he won’t tell me how to g
gizmo_the_mogwai [7]
You multiply it with the same number you use for the denominator.
in this case 3/4 and 7/10
you find the LCM of the denominator is 20
so for 4 to become 20 you multiply by 5 then for the numerator 3 also multiply by 5, so you get 15/20
its the same also with 7/10, you multiply both the numerator and the denominator by 2 and get 14/20
hope it help... :)




7 0
3 years ago
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