People from two houses 9,000 feet apart are looking up at a plane that is BETWEEN them. House 1 is west of the plane has an angl
1 answer:
The distance between the plane and house 1 is 4899.2 feet
<h3>How to determine the distance between the plane and house 1?</h3>See attachment for illustration of the question, where x represents the distance between the plane and house 1
Start by calculating the angle A using:
A = 180 - 17.5 - 18.8 ----- (angles in a triangle theorem)
This gives
A = 143.7
The distance x is then calculated using the following sine theorem
a/sin(A) = b/sin(B) = c/sin(C)
Using the parameters in the diagram, we have:
x/sin(18.8) = 9000/sin(143.7)
Multiply both sides by sin(18.8)
x= sin(18.8) * 9000/sin(143.7)
Evaluate
x = 4899.2
Hence, the distance between the plane and house 1 is 4899.2 feet
Read more about angle of elevation at:
#SPJ1
You might be interested in
Answer:
There are two possibilities:
and
and
Step-by-step explanation:
Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:
First, is cleared in the first equation:
Now, the variable is substituted in the second one:
And some algebra is done in order to simplify the expression:
Roots are found by means of the General Equation for Second-Order Polynomials:
and
There are two different values for :
There are two possibilities:
and
and