Answer:
<em>The height of the tree is 19.81 m</em>
Step-by-step explanation:
<u>Trigonometric Ratios </u>
The ratios between the sides of a right triangle are called trigonometric ratios.
If any of the acute angles is chosen as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.
The image shows a right triangle with a tree and the ground forming a right angle and an elevation angle of 33°.
This angle of 33° has a side of 30.5 m as its adjacent leg and the height of the tree X as the opposite side.
The trigonometric ratio that relates both legs is the tangent:
Solving for X
Using a calculator:
X = 19.81 m
The height of the tree is 19.81 m
Answer:
A. y = x^2 -6x + 13
Step-by-step explanation:
The parabola that opens up and has line of symmetry x=3 and a minimum at x=3 is
The reason is that, we can write this function in the vertex form to get;
Hence the line of symmetry is x=3 and the vertex is (3,4)
Answer:
4 feet.
Step-by-step explanation:
Let x be the height of tower when finished.
We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.
This means that 5/8 of x equals . Let us represent this information in an equation.
Let us convert our given mixed fraction into improper fraction.
Let us multiply both sides of our equation by 8/5.
Therefore, the tower will be 4 feet tall when finished.