1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Jonathan buys two baseball bats for $43 each they are on sale for 45% off he also bought a glove that was originally priced at 2
vladimir2022 [97]

Hi There!

-----------------------------------------------------

Baseball Bats:

43 x 0.45 = $19.35 as the amount off.

43 - 19.35 = $23.65 with the discount.

23.65 x 2 = $47.3 for two bats.

-----------------------------------------------------

Glove:

28 x 0.25 = $7 as the amount off.

28 - 7 = $21 with the discount.

-----------------------------------------------------

Together:

21 + 47.3 = $68.3 as the total before taxes.

-----------------------------------------------------

With Taxes:

68.3 x 0.055 = $3.7565 as the tax amount.

68.3 - 3.7565 = $64.5435

-----------------------------------------------------

Answer:

Not Rounded: $64.5435

Rounded: $64.54

-----------------------------------------------------

Hope This Helps :)

3 0
3 years ago
Your Turn!
Pachacha [2.7K]
B don’t quote me if I’m wrong
5 0
3 years ago
3x - 3y = -3<br>2x - y = -5​
Korolek [52]

For this case we must solve the following system of equations:

3x-3y = -3\\2x-y = -5

To solve we follow the steps below:

We multiply the second equation by -3:

-6x + 3y = 15

Thus, we have the equivalent system:

3x-3y = -3\\-6x + 3y = 15

We add the equations:

3x-6x-3y + 3y = -3 + 15\\-3x = -3 + 15\\-3x = 12\\x = \frac {12} {- 3}\\x = -4

We look for the value of the variable "y":

2 (-4) -y = -5\\-8-y = -5\\-y = -5 + 8\\-y = 3\\y = -3

Thus, the solution of the system is given by:

(x, y): (- 4, -3)

Answer:

(x, y): (- 4, -3)

4 0
3 years ago
At a candy store, 3 giant lollipops sell for $7.59 and 2 small packets of bubblegum cost $4.82. Which is a better buy?
galben [10]
2 small backs of bubble gum is your answer because it costs less!!
3 0
4 years ago
How_many_meatballs_are_required_for_a_party_of_25_adults_and_6_children
Tanya [424]
Meatballs required 13
7 0
3 years ago
Other questions:
  • -3^(-x)-6=-3^x+10<br><br>Solve the equation below for x by graphing plz
    6·2 answers
  • Casper had some money.He spent$180
    10·1 answer
  • Alex is making puppets for a show. He bought string for$125. It costs $18 for the remaining materials needed to make each puppet
    9·1 answer
  • Working together, Joy and Steve collected 39 pounds of aluminum cans for recycling. If Joy collected j pounds, which of the foll
    6·1 answer
  • How much interest will jovanny pay on a 60 month auto loan for $45,500 with a compound interest of 13.7 %??
    10·1 answer
  • Lily begins solving the equation 4(x-1)-x=3(x+5)-11. Her work is shown below. 4(x-1) - x = 3 (x+5)-11 4x −4) −x =3x +15 −11 3x-4
    13·1 answer
  • Need help plz + will give brainlest <br><br> Thanks in advance
    14·1 answer
  • Pls help me i suck at math and i really need this done.
    13·1 answer
  • Find the value of each variable 17/ 18
    11·2 answers
  • Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces .Which ordered p
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!