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Elodia [21]
3 years ago
8

A helicopter takes off from the ground 800 feet from the base of a building. It flies in a straight line directly to the top of

the building. If the building is 160 feet tall, what angle did the helicopter take off from?

Mathematics
1 answer:
slavikrds [6]3 years ago
8 0
<h2>Angle did the helicopter take off from is 11.31°</h2>

Step-by-step explanation:

Refer the given figure.

The initial position of helicopter is A.

It needs to go to position C.

We need to find angle A.

We have

          tanA=\frac{BC}{AB}\\\\tanA=\frac{160}{800}\\\\A=11.31^0

Angle did the helicopter take off from is 11.31°

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In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest
ryzh [129]

Answer:

B = 61°

A = 29°

a = 10

Step-by-step explanation:

We are given;

c = 16, b = 14​

Since we are told that C is a right angle, it means that C = 90°

Thus using sine rule, we have;

c/sin C = b/sin B

16/sin 90 = 14/sin B

16/1 = 14/sin B

sin B = 14/16

sin B = 0.875

B = sin^(-1) 0.875

B ≈ 61°

Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.

Thus, from pythagoras theorem, If the other side of the triangle is a, then;

a² + b² = c²

a² + 14² = 16²

a² = 16² - 14²

a² = 256 - 156

a² = 100

a = √100

a = 10

Since we know B and C, we can find A because sum of angles in a triangle is 180°.

Thus;

A = 180 - (B + C)

A = 180 - (61 + 90)

A = 29°

4 0
3 years ago
What is the equivalent of | -21 |
Fynjy0 [20]
That's 21.

Hope this helps !

Nyway
8 0
3 years ago
Read 2 more answers
Find the value of x in the Diagram Below.
zhannawk [14.2K]
Answer: x = 12

Step-By-Step: 180 - 100 = 80

Step-By-Step: 80 - 12 = 68

Step-By-Step: 68 is angle ( X + 12)

68 + 12 = 80 + 100 equals 180

6 0
3 years ago
Please help i will give brainliest
RideAnS [48]
The answer would be C because it’s the only fraction that does not equal 0.4
8 0
3 years ago
Given that k is a positive integer. Find, in terms of k, an expression for Sn, which is the sum of the integers from 2k to 4k in
Elden [556K]

Answer:

S_n=3k\cdot (2k+1)=6k^2 +3k

Step-by-step explanation:

k is a positive integer.

Consider an arithmetic sequence:

a_1=2k\\ \\a_n=4k\\ \\d=1

First, find n:

a_n=a_1+(n-1)\cdot d\\ \\4k=2k+(n-1)\cdot 1\\ \\2k=n-1\\ \\n=2k+1

Now, find the sum of these 2k+1 terms:

S_n=\dfrac{a_1+a_n}{2}\cdot n\\ \\S_n=\dfrac{2k+4k}{2}\cdot (2k+1)=\dfrac{6k}{2}\cdot (2k+1)=3k\cdot (2k+1)=6k^2 +3k

7 0
3 years ago
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