Geometry math question no Guessing and Please show work
2 answers:
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Answer:
Hence the ground distance is about 889m between stadium and Tennis court.
Step-by-step explanation:
Given:
A pilot at height of 125 m(flying the advertising blimp)
angle of depression=8 degrees.
To find :
The ground distance stadium and tennis court.
Solution :
Using Trigonometric Function we can solve it ,
(Refer the attachment for fig)
Considering above data we get a triangle(ABC)
with point A represent pilot position and C court position and B as stadium.
The height AB=125 m
angle of depression= 8 degrees.
Using
<em>tan∅ =AB/BC</em>
tan(8)=125/BC
BC=125/tan(8)
=125/0.14054
=889.2
=889 m
Hence the ground distance is about 889m between stadium and Tennis court.
Pythagorean Theorem: a^2+b^2=c^2
(9)^2 + b^2 = (23)^2
81 + b^2 = 529
b^2 = 529 - 81
b^2 = 448
b^2 =
b = 21.2
(9)^2 + b^2 = (23)^2
81 + b^2 = 529
b^2 = 529 - 81
b^2 = 448
b^2 =
b = 21.2
This problem is better understood with a given figure. Assuming that the flight is in a perfect northwest direction such that the angle is 45°, therefore I believe I have the correct figure to simulate the situation (see attached).
Now we are asked to find for the value of the hypotenuse (flight speed) given the angle and the side opposite to the angle. In this case, we use the sin function:
sin θ = opposite side / hypotenuse
sin 45 = 68 miles per hr / flight
flight = 68 miles per hr / sin 45
<span>flight = 96.17 miles per hr</span>
