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
Joe needs to buy supplies for a birthday party. At the store, balloons cost $0.50 each and party hats each cost $1.25. If Joe wa
VladimirAG [237]

Answer:

0.50b+1.25h=20

Step-by-step explanation:

Let b be the number of balloons and h be number of party hats.

We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.

We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.

Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:

0.50b+1.25h=20

Therefore, the equation 0.50b+1.25h=20 represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.

5 0
3 years ago
30. (14 letters) The process of changing one unit of measure to another.
Georgia [21]
Unit conversion
taxable income
7 0
3 years ago
Read 2 more answers
What is the percent increase of 16 to 20
mojhsa [17]
Hey You!

16 - 20 / 16 * 100 = 25

The percentage increase from 16 to 20 is 25%. =)
6 0
4 years ago
What is the volume of the trapezoidal right prism?
Sphinxa [80]
A=(a+b)*h*1/2=(20+8)*7*1/2=49 m2
V=A*H=49*2=98 m3
8 0
3 years ago
Read 2 more answers
a purse contains 25p coins and 50 p coins. the total amount in the purse is rs.25. if the number of 50 p coins is double the num
erica [24]
Let the total no. of 25 p coins be x
50p coins = 2x 

Value of 25 p coins ( in rupees) = 0.25*x =0.25x
Value of 50p coins ( in rupees) = 0.5*2x = x

0.25x+x = 25
1.25x =25
x = 25/1.25 = 20

no. if 25p coins = 20
and 50p coins = 2*20 = 40

4 0
3 years ago
Other questions:
  • Patricia has a 30% discount coupon for a jewelry store. She sees a new ring that she wants to buy. After the 30% discount was ap
    6·1 answer
  • In a fruit cocktail, for every 28 ml of orange juice you need 14 ml of apple juice and 56 ml of coconut milk. What is the ratio
    15·1 answer
  • Why can't you use the product of powers rule to simplify<br> this expression? Explain.<br> 3^4 * 2^8
    15·1 answer
  • First to answer gets brainliest
    11·2 answers
  • Combine the like terms to make a simpler expression:<br><br> 8r +7 -6r - 5 =
    8·2 answers
  • Will Mark Brainiest! 20 Points!
    7·1 answer
  • Kate has a coin collection. She keeps 7 of the coins in a box witch is only 5%of her entire collection. What is the total number
    12·2 answers
  • A general contractor is constructing a building that requires a concrete foundation that is to be 20 feet by 22 feet and 24 inch
    9·2 answers
  • Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. How many liters of wa
    5·1 answer
  • Need a little help!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!