Answer:
x = 84°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
129° is an exterior angle of the triangle, thus
x + 45° = 129° ( subtract 45° from both sides )
x = 84°
The 2 triangles formed by the tree/ shadow and Jordan/ shadow are similar and ratio of corresponding sides are equal, that is
let h be the height of the tree, then
[tex]\frac{h}{7}[/tex] = [tex]\frac{50}{10}[/tex] = 5 ( multiply both sides by 7 )
h = 35
The height of the tree is 35 ft
