1.A plane is descending towards a runway in New York. The plane is flying at an altitude of 8 miles and is 175 miles from the runway, as measured from the ground. What angle will the plane's path make with the runway? Round your answer to the nearest hundredth.
2.I want to build a right triangular deck behind my house. The hypotenuse of the deck will be 50 feet long. The other two sides of the deck will be equal in length. What is the length of a side of the deck? Round your answer to the nearest hundredth.
2.I want to build a right triangular deck behind my house. The hypotenuse of the deck will be 50 feet long. The other two sides of the deck will be equal in length. What is the length of a side of the deck? Round your answer to the nearest hundredth.
-
altitude as y = 8 miles.
from the run way as z = 175 miles
sin(θ) = y / z
sin(θ) = 8/175
θ = sin^-1(8/175)
θ = 2.62° or 0.05 rad
===========
since the other two sides are the same, we are going to call them as x.
50 is the hypotenuse
Pythagorean theorem
x^2 + x^2 = 50^2
2x^2 = 2500
x^2 = 1250
x = 25√(2) ft
please e-mail me if u have a question.
from the run way as z = 175 miles
sin(θ) = y / z
sin(θ) = 8/175
θ = sin^-1(8/175)
θ = 2.62° or 0.05 rad
===========
since the other two sides are the same, we are going to call them as x.
50 is the hypotenuse
Pythagorean theorem
x^2 + x^2 = 50^2
2x^2 = 2500
x^2 = 1250
x = 25√(2) ft
please e-mail me if u have a question.