A child is looking up at a bird perched on top of a tree. The child's line of sight to the bird is at an angle of elevation of 51°. If the child's eyes are 3 feet off the ground and is
standing 10 feet away from tree, how far up the tree is the bird perched?

2 x t divided by n

step-by-step explanation:

step-by-step :

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.