How do i find the missing side for question 39

Hello from MrBillDoesMath!

#39 6.1 (approx)

$41  14.6 (approx)

Discussion:

# 39

From plane trigonometry

cos(69)  = x/17  or

x = 17 * cos(69)   = 6.1 (approx)

#41

sin(59) = x/17 or

x = 17 * sin(59) =  14.6 (approx)

Regards,  

MrB

1.30

step-by-step explanation:

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft