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Sliva [168]
3 years ago
11

PLEASE GUYS HELP ME I NEED THIS FOR A TEST NOW

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer:

23.54 m

Step-by-step explanation:

Applying

cos∅ = adjacent(A)/hypotenuse(H)

cos∅ = A/H................ Equation 1

make H the subject of the equation

H = A/cos∅............ Equation 2

Given: A = 15 m, ∅ = 25°

Substitute into equation 2

H = 15/cos25

H = 16.55 m

Also,

tan∅ = opposite(O)/Adjacent(A)

tan∅ = O/A............Equation 3

Make O the subject of the equation

O = Atan∅.......... Equation 4

Substituting into equation 4

O = 15(tan25°)

O = 6.99 m.

From the diagram,

The height of the goal post before snap = H+O

The height of the goal post before snap = 16.55+6.99

The height of the goal post before snap = 23.54 m

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Genrish500 [490]

Answer:

12 cm

Step-by-step explanation:

The Pythagorean Theorem is as follows:

a^{2} +b^{2} =c^{2}

A and B represent the side lengths (legs) and C represents the hypotenuse.

The length of one leg equals 5cm. (This can be represented by either a or b)

The hypotenuse equals 13 cm.

Plug these into the equation from above:

a^{2} + (5^{2}) = (13^{2})

Solve for the other leg:

   a^{2} + 25 = 169                          Square what's in the parentheses from above

a^{2} = 144\\                                  Subtract 25 from 169

\sqrt{a^{2} } = \sqrt{144}                            Square root both sides

a = 12 cm                        

Thus, the length of the other leg is 12 cm.

Let's check our answer:

12^{2} +5^{2} =13^{2}                        Square everything

144 + 25 = 169                      Add

169 = 169

Because both sides are equal it means that 12 cm is the correct answer.

Hope this helps!!

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