complete question:
An observer at the top of a 462-ft cliff measures the angle of depression from the top of the cliff to a point on the ground to be 5°. What is the distance from the base of the cliff to the point on the ground? Round to the nearest foot
Answer:
a ≈ 5281 ft
Explanation:
The observer at the top of a 462 ft cliff measures the angle of depression from the top of the cliff to a point on the ground to be 5°.
The angle of depression form the top of the cliff = 5°
The 5° is outside the triangle formed . To find the angle in the triangle we have to subtract 5° from 90°. 90° - 5° = 85° Note sum of an angle on a right angle is 90°.
using SOHCAHTOA principle we can solve for the distance from the base of the cliff to the point on the ground(a)
tan 85° = opposite / adjacent
tan 85° = a / 462
cross multiply
462 × tan 85° = a
a = 11.4300523 × 462
a = 5280.66 ft
a ≈ 5281 ft
Answer:
Resistance = 252.53 Ohms
Explanation:
Given the following data;
Charge = 0.125 C
Voltage = 5 V
Time = 6.3 seconds
To find the resistance;
First of all, we would determine the current flowing through the battery;
Quantity of charge, Q = current * time
0.125 = current * 6.3
Current = 0.125/6.3
Current = 0.0198 A
Next, we find the resistance;
Resistance = voltage/current
Resistance = 5/0.0198
Resistance = 252.53 Ohms
Answer:
v = -v₀ / 2
Explanation:
For this exercise let's use kinematics relations.
Let's use the initial conditions to find the acceleration of the electron
v² = v₀² - 2a y
when the initial velocity is vo it reaches just the negative plate so v = 0
a = v₀² / 2y
now they tell us that the initial velocity is half
v’² = v₀’² - 2 a y’
v₀ ’= v₀ / 2
at the point where turn v = 0
0 = v₀² /4 - 2 a y '
v₀² /4 = 2 (v₀² / 2y) y’
y = 4 y'
y ’= y / 4
We can see that when the velocity is half, advance only ¼ of the distance between the plates, now let's calculate the velocity if it leaves this position with zero velocity.
v² = v₀² -2a y’
v² = 0 - 2 (v₀² / 2y) y / 4
v² = -v₀² / 4
v = -v₀ / 2
We can see that as the system has no friction, the arrival speed is the same as the exit speed, but with the opposite direction.
The elements fluorine and chlorine can form minerals in the "halide"group
.
Halide refers to the group containing halogens. The halogens turn out to be less responsive as you go down the group. Fluorine, at the highest point of the group, is the most responsive or reactive halogen. It is to a great degree risky, causing serious synthetic consumes on contact with skin.
Halogens also act as bleaching agents.They will evacuate the shade of colors. Chlorine is utilized to bleach wood mash to influence white paper.
