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Digiron [165]
2 years ago
6

What is the value of y? 17.5ft 12.5ft 11.6ft 16.5ft

Mathematics
1 answer:
FromTheMoon [43]2 years ago
3 0

Answer:

y = 16.5 ft

Step-by-step explanation:

• in the right triangle BCD :

cos(∠BCD) = 8/14

________

• In the right triangle ABC :

cos(∠BCA) = 14/(8+y)

________

Since ∠BCD and ∠BCA are the same one

then

cos(∠BCD) = cos(∠BCA)

Therefore

\frac{8}{14} =\frac{14}{y+8}

\Longleftrightarrow 8(y+8)=14^2

\Longleftrightarrow 8y+64=196

\Longleftrightarrow 8y=196-64

\Longleftrightarrow 8y=132

\Longleftrightarrow y=\frac{132}{8}

\Longleftrightarrow y=16.5

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Step-by-step explanation:

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