Question

From Alexa's eyesight to the top of the tree has an angle of 56.789 degrees and its distance of 23.45 feet. Match the following questions

How far is Alexa to the tree?
How tall is the tree?
What is the perimeter from the triangle
formed?

Answer 1

Distance between Alexa and tree = 12.844 ft

Height of tree = 19.620 + height of eyesight from ground

Perimeter of triangle formed = 55.914 ft

Explanation:

From the given data, the attached image is drawn ( refer attachment)

Assume

Height of eye line as
`h_(A)`, height of tree as
`h_(T)`, distance of tree from Alexa as X and vertical distance between eye line and top of tree is y.

To find: distance of tree from Alexa

consider triangle ATE. Here

X = 23.45 * cos (
`56.789^(o)`) = 12.844 ft

y = 23.45 * sin (
`56.789^(o)`) = 19.620 ft

Hence distance of tree from Alexa = 12.844 ft

Height of tree
`h_(T)` = y +
`h_(A)`

= 19.620 +
`h_(A)`

Perimeter of triangle = X + Y + 23.45 ft

= 12.844 ft +19.620 ft + 23.45 ft

= 55.914 ft