Answer:
28.4 degrees
Step-by-step explanation:
In the diagram attached
Height of the cliff, AB=54 m
Distance of the raft to the base of the cliff, AC=100m
We want to determine the angle of depression from the top of the cliff to the raft. This is angle OBA.

The angle of depression from the top of the cliff to the raft is 28.4 degrees correct to the nearest tenth.
Answer:
-3/2
(2x-14)/3
(-2,-6)
Step-by-step explanation:
I solved the first one for you already ( -3/2)
To make a line perpindicular to another line they need to intersect at a 90 degree angle. To do this the slope of the lines have to be the negative reciprical (take the fraction, flip it, and apply a negative sign to it)
If you do this to -3/2 you get 2/3
If we follow our y=mx+b equation from before we (so far) have
2/3x+b=y
which means that we just need to solve for b
We also know that it crosses the point (7,0) which means that if we plug in 7 for x and 0 for y we can solve for b
we have
(2/3)*7+b=0
Solve for B
14/3+b=0
b= -14/3
Which means our equation looks like this
(2x-14)/3
our two equations look like this
(-3/2)x-9
(2x-14)/3
We need to find where their coordinates are the same (where they intersect)
We can do this by setting them equal to each other and then solving for x
we have
(-3/2)x-9=(2x-14)/3
solve for x
-4.5x-27=2x-14
-13= 6.5x
x= -2
Now that we know what x equals we can plug this into any of our two beginning equations
(-3/2)*-2-9=y
3-9=y
-6=y
Which means our coordinates are (-2,-6)
if you have any questions let me know
Area of triangle = (1/2)*b*h = (1/2)*7*10
= 7*5 = 35 squared cm
Answer: 13-5/6 is 12 and 1/6
Step-by-step explanation:
Mark me as brainliest if this helps!