Question

Can you help me with this?

Answer 1

Use trigonometry
Apply this to the larger triangle and to the smaller .
You will use opposite side / adjacent ( tangent)

Form 2 equations in 2 variables and solve them.

Answer 2

Solve for X and Y X is the height of the flagpole.

Answer 3

so we can write

tan 28 = X / (20 + Y)

tan 53 = X / Y

Answer 4

thank you so much @welshfella

Answer 5

yw

Answer 6

solve by substitution
from second equation
Y = X / tan 53

now plug this into the first one

tan 28 = X / (20 + X/tan53))

tan28 = X / (20tan53 + X) / tan53 = X tan53 / ( 20tan53 + X)

20 tan28 tan53 + tan28 * X = X tan53

X tan53 - X tan 28 - 20 tan 28 tan 53

X = 20 tan 28 tan 53
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tan 53 - tan 28