HELP asap AB=85m Find the length of Line CD

Mathematics

1 answer:

Aleks [24]2 years ago

8 0

CD = x
BC = y
AB = 85
BD = BC+CD = y+x

tan(angle) = opposite/adjacent
tan(28) = BC/AB
tan(28) = y/85
85*tan(28) = y
y = 85*tan(28)
y = 45.1953016912257

tan(angle) = opposite/adjacent
tan(31) = BD/AB
tan(31) = (y+x)/85
tan(31) = (45.1953016912257+x)/85
85*tan(31) = 45.1953016912257+x
51.0731526173427 = 45.1953016912257+x
51.0731526173427-45.1953016912257 = 45.1953016912257+x-45.1953016912257
5.877850926117 = x
x = 5.877850926117

So CD is roughly 5.877850926117 meters

You might be interested in

Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any va

Tamiku [17]

Answer:

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2( $\frac{x+1}{a}$ ) - 1 = $\frac{(2x-1)+1}{a}$