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astra-53 [7]
2 years ago
9

Horizontal stadia sights. Determine the error in distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm

toward the observer and the rod intercept is 1. 75m on a horizontal sight
Mathematics
1 answer:
jek_recluse [69]2 years ago
6 0

The error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.

<h3>What is Tangent (Tanθ)?</h3>

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

Tan(θ) = Perpendicular/Base

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Given the uppermost portion of a that is 3.0m long stadia rod is inclined 14 cm toward the observer, therefore, the angle of inclination, θ can be written as

tan(θ)=0.14/3

θ = 2.672°

Also, the rod intercept is 1.75m, therefore, t the error in distance in the distance is,

tanθ=x/1.75

x = 1.75 tan(θ)

x = 1.75 × tan(2.672°)

x = 0.08167 m = 8.167 cm

Hence, the error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.

Learn more about Tangent (Tanθ):

brainly.com/question/10623976

#SPJ4

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5 0
3 years ago
Reduce To Simplest Form.<br><br>2/2 + 1.75 - 44/25 =​
Soloha48 [4]

Answer/Step-by-step explanation:

First, we should make each fraction, decimal, whole number into fraction and number form.

So, 2/2 = 1.

1.75 is 1 3/4.

44/25 is 1 19/25.

Now we have our equation, now we can do this equation easier.

1 + 1 3/4 - 1 19/25.

1 + 1 3/4 = 2 3/4.

Then, we turn both numbers to Decimal Form.

2 3/4 = 2.75

1 19/25 = 1.76.

When we divide 19 by 25, we get 0.76.

Then we subtract the decimals.

We should start right and end left.

5 - 6 = -1, we need to borrow one from the closest digit to the left, which is 7. Now we have 15 - 6 = 9.

Next, we have 6 - 7 = -1, we need to borrow one from the closest digit to the left, which is 2. Now we have 16 - 7 = 9.

Our answer right now is 0.99.

Lastly, 1 - 1 = 0.

Which leaves us with the answer: 0.99 (Zero and Ninety Nine Hundredths.)

Best of Luck to you.

If you have any questions, feel free to comment below.

5 0
3 years ago
If 1=2 what conclusions can u draw about m 3 and m 4
BlackZzzverrR [31]

Answer: second one

Step-by-step explanation:

5 0
3 years ago
Answer the question in the picture
Schach [20]

The area of the semicircle is A = 1187.9 cm².

<h3>What is the area of a circle?</h3>

The area of a circle with a radius of r is A = πr².

Given that, the diameter of the semicircle is 55 cm.

The radius of the semicircle is,

r = 55/2

The area of a semicircle is given by,

A = (1/2)πr²

Substitute the values,

A = (1/2)π(55/2)²

A = 1187.9

Hence, the area of the semicircle is A = 1187.9 cm².

Learn more about the area of a circle:

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6 0
1 year ago
Line AC and line DB intersect at point P. Solve for angle BPQ.
taurus [48]

Answer:

Angle BPQ = 64°

Step-by-step explanation:

4x + 12 +2x = 90

6x + 12 = 90

     - 12    -12

6x = 78

x = 13°

BPQ = ((4(13) + 12)°

           (52 + 12)°

            64°

8 0
2 years ago
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