Answer:
The two boats are 323.72 m apart.
Step-by-step explanation:
See the attached diagram.
B is the point of observation and AB is the height of the parasailer i.e. 75 m.
Now, from the right triangle Δ ABC,
⇒ AC = 14.58 meters.
Again, from the right triangle Δ ABD,
⇒ AD = 338.30 meters.
Hence, CD = AD - AC = 338.30 - 14.58 = 323.72 m
Therefore, the two boats are 323.72 m apart. (Answer)
Answer:
= 3n + 4
Step-by-step explanation:
there is a common difference between consecutive terms , that is
10 - 7 = 13 - 10 = 16 - 13 = 3
this indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 7 and d = 3 , then
= 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4
Answer:
Proved
Step-by-step explanation:
To Prove:
Proof:
Now:
Therefore:
Applying these angle sum formula
Divide all through by
=sin \alpha cos \beta + cos \alpha sin \beta/cos \alpha cos \beta/cos \alpha cos \beta- sin \alpha sin \beta/cos \alpha cos \beta
=sin \alpha/cos \alpha + sin \beta/cos \beta/1-tan \alpha tan \beta
=tan A + tan B/1-tan A tan B