Question

The question is below thanks

Answer 1

Explanation:

pythogoream theorem.(hyp^2=opp^2+adj^2)

hyp=14 adg=4 opp=?

since we have to find opp

opp^2=hyp^2-adj^2

opp^2=14^2-4^2

196-16=180

`√(180)`

BD= 13.41

(Q as theta)

sinQ= opp÷hyp

= 13.41÷14

Q=sin^-1(13.4÷14)

Q=73.33

cosQ=adj(AD)÷hyp(BC)

cos 73.33× 14 =adj

AD=4.01

Therefore, AC =AD +DC(4.01+4)

=8.01

I am not sure....but I got this much

Answer 2

AC = 49

Explanation:

Using the Altitude - on - Hypotenuse theorem

(leg of large Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)

BC² = DC × AC, substitute values

14² = 4 × x

196 = 4x ( divide both sides by 4 )

49 = x

Thus AC = x = 49