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Kruka [31]
3 years ago
5

The angle of elevation of the top of a tower from a point on the ground is 50 degrees. After moving 50 meters away from the towe

r, the angle of elevation reduced to 40 degrees. Find the height of the tower?

Mathematics
1 answer:
anastassius [24]3 years ago
4 0

Answer:

The height of the tower is 141.74 meters.

Step-by-step explanation:

See the attached diagram.

Let the position of the tower os AB with A as the base and B is the top.

Now, angle of elevation of point B from point C is 50°, and the from point D is 40°, and hence, CD = 50 meters,

Now, from Δ ABC, \tan 50 = \frac{AB}{AC} = \frac{x}{AC}

⇒ AC = \frac{x}{\tan 50} = 0.839x .......... (1)

Again, from Δ ABD,  \tan 40 = \frac{AB}{AD} = \frac{x}{AD}

⇒ AD = \frac{x}{\tan 40} =1.192x .......... (2)

Now, DC = AD - AC  

⇒ 50 = 1.192x - 0.839x

⇒ 50 = 0.353x

⇒ x = 141.74 meters.

Hence, the height of the tower is 141.74 meters. (Answer)

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Answer:

3.762 x 10^-7

Step-by-step explanation:

Alright this has the same exact concept as other scientific notation problems.

First, multiply your first numbers: 4.18 x 9 = 37.62

Next, we add our powers together -4 +-4 = -8 (can also be read as -4 - 4 = -8)

We now have 37.62 x 10^-8

Wait! This isn't in scientific notation.

Taking a closer look at this we see 37.62 x 10^-8 can be adjusted by moving the decimal over to the left. Scientific notation must be in simplest form with only one number on the left of the decimal. This gives up 3.762.

Now we need to adjust our notation. Since we moved the decimal over one we are adding one more power to our problem.

Our current power of -8 is now adding a power due to moving the decimal place over one unit to the left. This is equivalent to saying -8 + 1 which equals -7. Now that we fixed our powers, we can put our equation back together for our final answer

3.762 x 10^-7

6 0
3 years ago
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Answer:

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have a nice day! (maybe get this double checked in case I did it wrong :D)

8 0
2 years ago
For every 1 litre of water used to make a medicine, 269ml of sucrose and 61ml of saline solution are used. Express the amount of
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Answer:

Step-by-step explanation:

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3 years ago
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Answer:

360

Step-by-step explanation:

The given digits are 1,2,3,4,5,6.

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We need to find the number of different ways to form four-digit numbers using the digits, without repetition.

Total ways for first place = 6

After selecting 1 digit the number of remaining digits is 5. So,

Total ways for second place = 5

Similarly,

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Total number of ways = 6\times 5\times 4\times 3=360

Therefore, 360 four digit numbers are possible.

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