Answer:
The value is 
Explanation:
From the question we are told that
The speed of the marathon runner is 
The distance from the distance from the finish is 
The speed of the bird is 
Generally the time taken for the runner to reach the finish is mathematically represented as



So the distance covered by the bird is



Answer:
R = 668.19 ft
Explanation:
given,
speed of the ball thrown by the pitcher = 100 mph
to travel maximum distance θ = 45°
distance traveled by the ball = ?
using formula
1 mph = 0.44704 m/s
100 mph = 44.704 m/s


R = 203.71 m
1 m = 3.28 ft
R = 203.71 × 3.28
R = 668.19 ft
hence, ball will go at a distance of 668.19 ft when pitcher throw it at 100 mph.
So, based on the angle values that have been found, the angle of elevation of the nozzle can be <u>16° or 74°</u>.
<h3>Introduction</h3>
Hi ! This question can be solved using the principle of parabolic motion. Remember ! When the object is moving parabolic, the object has two points, namely the highest point (where the resultant velocity is 0 m/s in a very short time) and the farthest point (has the resultant velocity equal to the initial velocity). At the farthest distance, the object will move with the following equation :

With the following condition :
= the farthest distance of the parabolic movement (m)
= initial speed (m/s)
= elevation angle (°)- g = acceleration due to gravity (m/s²)
<h3>Problem Solving :</h3>
We know that :
= the farthest distance of the parabolic movement = 2.5 m
= initial speed = 6.8 m/s- g = acceleration due to gravity = 9.8 m/s²
<h3>What was asked :</h3>
= elevation angle = ... °
Step by Step :
- Find the equation value
(elevation angle)








- Find the angle value of the equation by using trigonometric equations. Provided that the parabolic motion has an angle of elevation 0° ≤ x ≤ 90°.
First Probability


→
(T)
→
(F)
Second Probability



→
(T)
→
(F)
<h3>Conclusion</h3>
So, based on the angle values that have been found, the angle of elevation of the nozzle can be 16° or 74°.