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Ivan
3 years ago
5

A surveyor measured the angle of elevation of a flat spire as 15 degree from a point in horizontal group.He movrs 30m nearer to

the flat and measure the angle of elevation at 43 degrees.Calculate the height of the spire to the nearest hundredth.
Mathematics
1 answer:
frozen [14]3 years ago
8 0

Answer:

11.28m

Step-by-step explanation:

The computation of the height of the spire is shown below:

let us assume the height of the spire be x

Now

For triangle ABD

Tan 43 degrees = h ÷ x

x = h × cot 43 degrees

= 1.07236 h

For triangle ABC

tan 15 degrees = h ÷ (30 + x)

0.2679 = h ÷ 30 + 1.07236h

8.038 + 0.28728 h = h

h = 11.28m

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Given a || b , and c is not parallel to a or b, which statements
Lapatulllka [165]

Answer:

C. m∠4 = m∠8

D. m∠2 = m∠7

Step-by-step explanation:

Here, we use the principles of alternate angles, corresponding angles and vertically opposite angles to confirm which of the statements are true. Alternate angles are always equal, corresponding angles are equal, likewise vertically opposite angles.

From the given question, it was given that a is parallel to b. Thus, it can be observed and deduced that;

m∠4 = m∠8  (corresponding angles)

and

m∠2 = m∠3 (vertically opposite angles)

m∠3 = m∠7 (corresponding angles)

So that,

m∠2 = m∠7  

Thus in the question, statements C and D are true.

7 0
3 years ago
How would you calculate the area and perimeter of 3yd 6yd 5yd 10yds
spayn [35]
Okay, start with the smaller square, you know the side length is 3 and that the width is 5, multiply this together:
3 * 5 = 15

That's the smaller left side of this shape, now the bigger side, divide the 10 yards at the bottom by 2 to properly represent the other side then multiply this by the 6 over there.
5 * 6 = 30

Conclusion for Area: After adding the results the answer should be 45.

The perimeter is solely adding all the sides together. You have a 10, two 5's, one 6, and two 3's. Add this together:

10 + 5 + 5 + 6 + 3 + 3 = 32

Conclusion for Perimeter: So the perimeter would be 32.

I hope this helps in someway, have a great rest of your day! ^ ^
| | Ghostgate | |
3 0
3 years ago
Order the numbers 21 , 40, and 42 from least to greatest based on how many numbers are in their prime factorization.
lora16 [44]

Answer:

21,40,42

Step-by-step explanation:

That's it.Wish it's correct.:D

6 0
3 years ago
Negative positive or no association
Eddi Din [679]

Answer:

Positive association

Step-by-step explanation:

As the Temperature goes up the more money you have to spend because you pay for the electricity that produces the heat

positive association is when one varriable increases so does the other.

7 0
3 years ago
Use calculator to draw the graph F(x)=x^4-4x^3-x^2+12x-2
ohaa [14]

Answer:

Here's what I got  

Step-by-step explanation:

I used an online graphing calculator and got the graph below.

The function has zeroes at (-1.756,0), (0.738, 0), (1.564, 0), and (3.453, 0).

There are local minima at (-0,939, -15.061) and (2,795,-7,853) and a local maximum at (1.144, 1.143).

The end behaviour is

F(x) ⟶ ∞ as x ⟶ -∞

F(x) ⟶ ∞ as x ⟶ ∞

8 0
3 years ago
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