Answer:
x = 88.2
Step-by-step explanation:
The angle at the top of the triangle = 90° - 10° = 80°
and the left side of the triangle is x ( opposite sides of a rectangle )
Using the tangent ratio in the right triangle
tan80° = =
Multiply both sides by x
x × tan80° = 500 ( divide both sides by tan80° )
x = ≈ 88.2
Answer:
49 feet
Step-by-step explanation:
We solve for this using proportion
Height of Jack's house = ?? = Y
Length of the shadow of Jack's house = 56 feet
Height of a tree = 21 feet
Length of the shadow of the tree = 24 feet
Height of Jack's house/ Shadow of Jack's house = Height of a tree/ Shadow of the tree
Y/56 = 21/24
Cross Multiply
24 × Y = 56 × 21
Y = 56 × 21/24
Y = 1176/24
Y = 49 feet
Therefore, the height of Jack's house is 49 feet
The domain is any number greater then negative five. The range is any number greater than negative two.