Answer:
angle of depression ≈ 53.8°
Step-by-step explanation:
the angle of depression is the measure of the angle from the horizontal downwards from the top of the flag pole.
this angle is alternate to ∠ A and is congruent to ∠ A
using the sine ratio in the right triangle
sin A =
=
, then
∠ A =
(
) ≈ 53.8° ( to 1 d.p )
Angle of depression ≈ 53.8°
Answer:
-9
Step-by-step explanation:
Using the sum/difference property of logarithms, we can rewrite the expression given as:
log b^3 + log c^3 - log √(a^3) --> log √(a^3) can also be written as log a^1.5
Next, we can use the power property of logarithms, and rewrite it again as:
3log b + 3log c - 1.5log a
Now, we can substitute the values of log a, log b, and log c:
3(11) + 3(-9) - 1.5(10)
33 - 27 - 15
-9
Simplifying, we get -9 as the answer.
Answer:

Step-by-step explanation:
= Mass flow rate of water = 320 kg/s
= Mass of water on the door
= Time
= Velocity of water on the door = 20 m/s
Force is given by

The average force is exerted by the stream of water is
.
Counting the straight sides gives you 23 units and using the distance formula on the bottom side gives you about 11.18 units. 23+11.18=34.18 and round that to the nearest tenth to get the answer of 34.2 units.