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Aliun [14]
4 years ago
12

Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to

the nearest tenth, & each trigonometric value to four decimal places, if necessary. Opposite side = 244 yards Adjacent side = 119 yards cos θ = ?
Mathematics
1 answer:
NeX [460]4 years ago
4 0

Answer:

Step-by-step explanation:

The given triangle is a right angle triangle. The opposite side is given as 244 yards. The adjacent side is given as 119 yards. To determine the hypotenuse, we would apply Pythagoras theorem. It is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Hypotenuse^2 = 244^2 + 119^2

Hypotenuse^2 = 59536 + 14161

Hypotenuse = √73697 = 271.5 yards.

cos θ = adjacent side/hypotenuse

cos θ = 119/271.5 = 0.4383

θ = Cos^-1(0.4383) = 64 degrees

The other angle would be

90 - 64 = 26 degrees

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If the perimeter of a right triangle is 42 units and the length of the hypotenuse is 20 units, find the length of the other two
Mashutka [201]
So
a^2+b^2=c^2
c=hypotenuse
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if the permiter is 42 then
p=hypotonuse+side+side
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subtract 20 from both sides
22=side+side

a+b=22
subtract b from both sides
a=22-b
subsitute for a in equation below
a+2+b^2=c^2
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b^2-44x+484+b^2=400
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factor
(b+/-number)(b+/-number)
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(b-number)(b-number)
facrors of 42=2,3,6,7,14,21
2,21
3,14
6,7
it's hard to find the number, but the numbers are -19.8882 and -2.11181
(b-19.8882)(b-2.11181)=0
if xy=0 then assume that x and y=0

b-19.8882=0
add 19.8882 to both sides
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add 2.11181 to both sides
b=2.11181



the side legnths are 19.8882 units and 2.11181 units
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4 years ago
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