Step-by-step explanation:
I didn't need the other angles, but right of the bat you can tell it's two right triangles back to back.
<em>y </em> has to be 90° , as you have noticed they already gave you 70° on the right side of the shape meaning if you were to add 90 which is why plus 70 what would that give you? 160.
the total interior for a triangles angles has to be 180°. if you do the math 180 - 160 you get the leftover 20° for x.
I suck at explaining stuff, hope this helps
V=8, did it on equations solver
Answer:
2/3
Step-by-step explanation:
Given : A geometric sequence : 18, 12, 8, 16/3,…
Solution :
Each term is found by multiplying the previous term by a constant in a Geometric Sequence .
In a Geometric Sequence common ratio is denoted by r

for n = 2

⇒
⇒
for n = 3

⇒
⇒
⇒
Thus the common ratio 'r' = 2/3
Answer:
The distance of the object from the base of cliff is 18.24 meters
Step-by-step explanation:
Given as :
The height of the vertical cliff = h = 50 meters
The distance of the object from the base of cliff = x meters
Let The angle of depression of object that level with cliff base = Ф = 70°
<u>Now, from figure</u>
Tan angle = 
I.e TanФ = 
Or, TanФ = 
Or, Tan 70° = 
Or, 2.74 = 
∴ x =
I,e x = 18.24 meters
So, The distance of the object from the base of cliff = x = 18.24 meters
Hence,The distance of the object from the base of cliff is 18.24 meters Answer