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3 years ago

Which property can be justified using the ratios in triangle XYZ ?

Mathematics

2 answers:

Alenkasestr [34]3 years ago

6 0

The correct answer is B.

Determine and recall first the trigonometric functions:

Sin A = Opposite/Hypotenuse
Cos A = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent

If for example we try to take an angle, for example the Y, then Y is opposite Y. The Hypotenuse will be the longer side which is going to denoted by X and the next side will be Adjacent which will be denoted by Z.

Use this test to answer:

Sin Y = Y/X

where:

Y = opposite
X = hypotenuse

Cos (90 - y) = cos (90 - 50) = cos 40

where Z = 40
we look for cos Z = Y/X

Therefore,

Sin Y = Cos (90 - Y)

MatroZZZ [7]3 years ago

6 0

The previous answer is correct. There are 2 question that look the ecaxt same. Yet are different. The answer is indeed B

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2 years ago

Alex spent 25% of his money on a sport drink .then he spent 25% of the remaining money on a trial mix .he had 9$ dollar left .ho

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3 years ago

Read 2 more answers

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lana [24]

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3 years ago

You are standing on top of a building looking down at your friend who is getting chased by a zombie. The building is 150 feet ta

Naddika [18.5K]

Answer:

a) 125.865 ft

b) 321.676 ft

c) 195.811 ft

Step-by-step explanation:

Given:-

- The height of the building, H = 150 ft

- The angle of elevation ( friend - top of building ), θ1 = 50°

- The angle of elevation ( zombie - top of building ), θ2 = 25°

Find:-

a) How far away is your friend from the building

b) How far away is the zombie from the building

c) How far away is the zombie from your friend

Solution:-

- We will consider the two right angle triangles with similar height ( H ) which denotes the height of the building.

- The distance your friend is from the building is ( x1 ) and looks up to the top of the building with angle of elevation of ( θ1 ).

- We can apply the trigonometric ratio for the right angle triangle formed between your friend, foot of the building and you ( on top of the building ):

tan ( θ1 ) = H / x1

x1 = H / tan ( θ1 )

x1 = 150 / tan ( 50° )

x1 = 125.865 ft ... Answer ( a )

- The distance zombie is from the building is ( x2 ) and looks up to the top of the building with angle of elevation of ( θ2 ).

- Similarly, apply the appropriate trigonometric ratio for the right angle triangle formed between zombie, foot of the building and you ( on top of the building ):

tan ( θ2 ) = H / x2

x2 = H / tan ( θ2 )

x2 = 150 / tan ( 25° )

x2 = 321.676 ft ... Answer ( b )

- The distance between your friend and the zombie ( s ) can now be determined from subtracting the distance of your friend from the building from distance of the zombie from the building:

s = x2 - x1

s = 321.676 - 125.865

s = 195.811 ft ... Answer ( c )

8 0

3 years ago