Answer:
68.17m
Step-by-step explanation:
Please see attached a rough sketch of the scenario
Step one:
Given data
Height of victim= 4.5ft
The horizontal distance of the snipper from the building = 780ft
The angle of elevation= 5 degrees
Required
The vertical distance
The opposite= the vertical distance
789 ft = the adjacent
Step two:
Applying SOH CAH TOA
tan ∅= opp/adj
tan 5= opp/780
cross multiply we have
0.0874= opp/780
cross multiply we have
0.0874*780= opp
opp= 68.17m
The sniper shoots from a vertical distance of 68.17m
Answer:
a. For A2 to compute the interest.
b. For B2 to compute the principal.
c. For C2 to compute the interest rate.
d. For D2 to compute time in years, given the interest, rate, and the principal.
e. For E2 to compute the time in months, given the time in years.
a) A2 = B2 x C2 x D2
b) B2 = A2/ (C2 x D2)
c) C2 = A2/ (B2 x D2)
d) B2 = A2/ (C2 x D2)
e) E2 = 12 x D2
I know they only asked for principle, I just added for imformation lol
Step-by-step explanation:
We need to choose all the expressions that are equal to 61.
(i) |−61| : It is true. Modulus of any negative number gives positive number. |-61|=61.
(ii) The opposite of −61 ; It is true. Opposite of negative is positive.
(iii) The opposite of 61 : It is false. The opposite of 61 gives -61.
(iv) distance from zero to −61 : It is true. Distance is positive always.
(v) −|61| : False. It remains negative.
(vi) −|−61| : False. It remains negative.
(vii) -(-61) : True. Double negative makes positive
.
Hence, the correct options are : (i), (ii), (iv), (vii).
Answer:
B. 7.35 inches
Step-by-step explanation:
In the triangle:
- A=63°
- c = 7.75 inch
- B = 47°
Now we know that:
Using the Law of Sines