an airplane is flying at the height of 10 km above the ground the distance along the ground from the airplane to the airport is
1 answer:
The angle of depression from the aeroplane to the ground will be 30 degrees.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
- An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 km
The angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.
As we know that the perpendicular theta is height and the base ratio is angle tan theta.
tanФ = Height / Base
tanФ = 10 / 10 √3
tanФ = 1 / √3
Ф = tan⁻¹( 1 / √3 ) = 30°
Therefore the angle of depression from the aeroplane to the ground will be 30 degrees.
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Answer:
Part 1) The lateral area is
Part 2) The area of the two bases together is
Part 3) The surface area is
Step-by-step explanation:
Part 1) Find the lateral area
we know that
The lateral area of a prism is given by
where
P is the perimeter of the base
h is the height of the prism
so
----> perimeter of rectangle
---> given
substitute
Part 2) The area of the two bases together is?
The area of the rectangular base B is equal to
therefore
The area of the two bases together is
Part 3) The total surface area is
we know that
The surface area is equal to
substitute