Answer:
665 ft
Explanation:
Let d be the distance from the person to the monument. Note that d is perpendicular to the monument and would make 2 triangles with the monuments, 1 up and 1 down.
The side length of the up right-triangle knowing the other side is d and the angle of elevation is 13 degrees is
![dtan13^0 = 0.231d](https://tex.z-dn.net/?f=dtan13%5E0%20%3D%200.231d)
Similarly, the side length of the down right-triangle knowing the other side is d and the angle of depression is 4 degrees
![dtan4^0 = 0.07d](https://tex.z-dn.net/?f=dtan4%5E0%20%3D%200.07d%20)
Since the 2 sides length above make up the 200 foot monument, their total length is
0.231d + 0.07d = 200
0.301 d = 200
d = 200 / 0.301 = 665 ft
It is typically 30 km to 50 km thick.
Answer:
The people with caculators will probably answer faster due to thier ablitiy to use a device of technology
Explanation:
Solution:
Let the time be
t1=35min = 0.58min
t2=10min=0.166min
t3=45min= 0.75min
t4=35min= 0.58min
let the velocities be
v1=100km/h
v2=55km/h
v3=35km/h
a. Determine the average speed for the trip. km/h
first we have to solve for the distance
S=s1+s2+s3
S= v1t1+v2t2+v3t3
S= 100*0.58+55*0.166+35*0.75
S=58+9.13+26.25
S=93.38km
V=S/t1+t2+t3+t4
V=93.38/0.58+0.166+0.75+0.58
V=93.38/2.076
V=44.98km/h
b. the distance is 93.38km
Answer:
(a). The initial velocity is 28.58m/s
(b). The speed when touching the ground is 33.3m/s.
Explanation:
The equations governing the position of the projectile are
![(1).\: x =v_0t](https://tex.z-dn.net/?f=%281%29.%5C%3A%20x%20%3Dv_0t)
![(2).\: y= 15m-\dfrac{1}{2}gt^2](https://tex.z-dn.net/?f=%282%29.%5C%3A%20y%3D%2015m-%5Cdfrac%7B1%7D%7B2%7Dgt%5E2)
where
is the initial velocity.
(a).
When the projectile hits the 50m mark,
; therefore,
![0=15-\dfrac{1}{2}gt^2](https://tex.z-dn.net/?f=0%3D15-%5Cdfrac%7B1%7D%7B2%7Dgt%5E2)
solving for
we get:
![t= 1.75s.](https://tex.z-dn.net/?f=t%3D%201.75s.)
Thus, the projectile must hit the 50m mark in 1.75s, and this condition demands from equation (1) that
![50m = v_0(1.75s)](https://tex.z-dn.net/?f=50m%20%3D%20v_0%281.75s%29)
which gives
![\boxed{v_0 = 28.58m/s.}](https://tex.z-dn.net/?f=%5Cboxed%7Bv_0%20%3D%2028.58m%2Fs.%7D)
(b).
The horizontal velocity remains unchanged just before the projectile touches the ground because gravity acts only along the vertical direction; therefore,
![v_x = 28.58m/s.](https://tex.z-dn.net/?f=v_x%20%3D%2028.58m%2Fs.)
the vertical component of the velocity is
![v_y = gt \\v_y = (9.8m/s^2)(1.75s)\\\\{v_y = 17.15m/s.](https://tex.z-dn.net/?f=v_y%20%3D%20gt%20%5C%5Cv_y%20%3D%20%289.8m%2Fs%5E2%29%281.75s%29%5C%5C%5C%5C%7Bv_y%20%3D%2017.15m%2Fs.)
which gives a speed
of
![v = \sqrt{v_x^2+v_y^2}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7Bv_x%5E2%2Bv_y%5E2%7D)
![\boxed{v =33.3m/s.}](https://tex.z-dn.net/?f=%5Cboxed%7Bv%20%3D33.3m%2Fs.%7D)