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Nata [24]
3 years ago
15

In ΔABC, the measure of ∠C=90°, the measure of ∠A=64°, and AB = 2.7 feet. Find the length of BC to the nearest tenth of a foot.

Mathematics
2 answers:
harina [27]3 years ago
3 0

Answer:

Applying sine theorem for right triangle ABC, we have:

sin A = BC/AB

=> BC = AB x sin A = 2.7 x sin(64 deg) = ~2.4 (ft)

Hope this helps!

:)  

Vlada [557]3 years ago
3 0
BC=AB x sinA=2.7 x sin64'=2.4

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Answer:

The number of reserved seat is 120 and number of general seat is 640.

Step-by-step explanation:

Given,

Total number of seats = 760

Total collected Money = $3280

Solution,

Let the total number of reserved seat be x.

And  the total number of general seat be y

Hence total number of seats is the sum of total number of reserved seat and  the total number of general seats.

So the equation can be written as;

x+y=760\ \ \ \ equation\ 1

Again, total money collected is the sum of fees of one reserved seat times total number of reserved seat and fees of one general seat times the total number of general seats.

So the equation can be written as;

6x+4y=3280\ \ \ \ \ equation\ 2

Now, multiplying equation 1 by 4 and then subtract it from equation 2.

4x+4y=3040

(6x+4y)-(4x+4y)=3280-3040\\\\2x=240\\\\x=\frac{240}{2}=120

On substituting the value of x in equation 1, we get;

x+y=760\\120+y=760\\y=760-120=640

Thus the number of reserved seat is 120 and number of general seat is 640.

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