Question

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

Answer 1

y = 16.5 ft

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

`(8)/(14) =(14)/(y+8)`

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

`\Longleftrightarrow 8y+64=196`

`\Longleftrightarrow 8y=196-64`

`\Longleftrightarrow 8y=132`

`\Longleftrightarrow y=(132)/(8)`

`\Longleftrightarrow y=16.5`