Answer: The answer is 35.43 feet rounded to the nearest hundredth.
Step-by-step explanation:
Answer:
83 m (nearest metre)
Step-by-step explanation:
This can be modeled as a <u>right triangle</u>, where the base is 60 m and the height is the height of the building.
<u>Alternate Interior Angles Theorem (Z-angles)</u>
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
Using the Alternate Interior Angles theorem, the angle between the ground and the dashed line (angle of elevation) is 54°.
<u>Tan trigonometric ratio</u>
where:
- is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
Given:
- = 54°
- O = height of building (h)
- A = 60
Substituting the given values into the formula and solving for h:
Answer:
Option A
Step-by-step explanation:
we have
we know that
The formula to solve a quadratic equation of the form is equal to
in this problem we have
so
substitute
Answer:
110°
Step-by-step explanation:
The path in the inscribed polygon walked by Ellen is shown in the diagram attached. Let the degrees in which Ellen must turn to get back to her starting point be T. Therefore to calculate T we use the theorem "An inscribed quadrilateral whose vertices all lie on a circle, the opposite angles of such a quadrilateral are in fact supplements for each other i.e their sum is 180 degrees."
Therefore: T + 70° = 180°
T = 180° - 70°
T = 110°
To get back to the starting point, Ellen must turn 110°