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
larisa [96]
3 years ago
11

A 30-meter high building sits on top of a hill. The angles of elevation of the top and bottom of the building from the same spot

at the base of the hill are measured to be 55 degrees and 50 degrees. How high is the hill to the nearest meter?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0
<h2>A 30-meter high building sits on top of a 151.52 meter high hill.</h2>

Explanation:

According to the given data, we can draw a figure (Please refer the attachment below)

Building's height = 30 meter

Angle of elevation from a spot to the top of the building = 55 degrees

Angle of elevation from the spot to the top of the building = 50 degrees

To find the height of the hill, we need to use the formula,

tan \,\theta = \frac{opposite \,side}{adjacent \,side}

then, tan \,50 = \frac{h}{x}

\Rightarrow x = \frac{h}{tan 50}

\Rightarrow x = \frac{h}{1.192}   .... (1)

Similarly, tan \,55 = \frac{30+h}{x}

\Rightarrow x = \frac{30+h}{tan 55}

\Rightarrow x = \frac{30+h}{1.192}   .... (2)

(1) = (2) becomes

\frac{h}{1.192} = \frac{30+h}{1.428}

[tex]\Rightarrow [tex] 1.428h  = (30 + h)1.192

1.428h  =  35.76 + 1.192h

1.428h - 1.192h = 35.76

0.236h = 35.76

h = 151.52 meter

Therefore, the hill highs 151.52 meter.

You might be interested in
Can someone help me out?
Alexeev081 [22]

Answer: factorise the equation 49x^2+70x+25

Step-by-step explanation:

49x^2+70x+25

(7x)^2+2*7x*5+(5)^2

(7x+5)(7x+5)

therefore the sides of the square are (7x+5)(7x+5)

7 0
3 years ago
Mrs.Rodriquez is purchasing trophies for each child that plays little league she wants to spend no more than $7.00 per thropy ​
Greeley [361]

Answer:

7 trophies for $49.00

5 trophies for $30.00

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

Explination:

It says that she wants to pay no more than 7 dollars for each trophy she buys, which means 7 and less. So we have to multiply 7 x the number of trophies, And if it gives you the excact number or less its correct.

So we multiply

7 x 7 = 49 (The excact number, correct)

9 x 7 = 63 (The price they are selling it at is higher, incorrect)

12 x 7 = 84 (The price they are selling it at is higher, incorrect)

5 x 7 = 35 (Paying less, Correct)

3 x 7 (The price they are selling it at is higher, incorrect)

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

Its really easy if you put your mind into it! Goodluck <3

5 0
3 years ago
Haitian farmers are buying mango tree saplings for $10 each, and the full-grown trees produce $75 of fruit each year. If a farme
STALIN [3.7K]

Answer:

c)  $200

Step-by-step explanation:

if the farmer wishes to earn $1500 per year he needs 1500/75=20 trees producing fruit  

Because each tree produces 75$ of fruit per year

if we wants 20 trees he has to spend 20*$10=$200

Because each tree has a cost of 10$

4 0
3 years ago
the popilation of Detroit, Michigan was 951,300 in. Detroit has been experiencing a population decile of 1.4% per year since 200
timama [110]
This can be solve using the formula
F = P(1 - i)^nwhere F is the future populationP is the initial populationi is the percent population declinen is the number of years
F = 951,300 ( 1 - 0.014)^5F = 886,548 will be the population in 2005
8 0
3 years ago
Need help with this question
vampirchik [111]

The slope of line s is; (0 - a)/(c - 0) = -a/c

<h3>What is the Slope of the Line?</h3>

The formula for slope of a line is;

m = (y2 - y1)/(x2 - x1)

For coordinates of two points labelled as; (x1, y1) and (x2, y2).

Thus, for the line s given on the graph, we can say that;

Slope = (0 - a)/(c - 0)

Slope = -a/c

Thus, the correct option to find the slope of line s is;

(0 - a)/(c - 0) = -a/c

Read more about Slope of Line at; brainly.com/question/3493733

#SPJ1

3 0
2 years ago
Other questions:
  • Determine the unknown measures of the triangle shown. Round to the nearest tenth, if necessary. x = in. y ≈ ° z ≈ °
    11·2 answers
  • On a spinner: <br> P(3) = 3/8 and the p(4) = 1/3<br> what is the probability of getting a 3 or 4
    8·2 answers
  • What is the recombination frequency between these genes for body color and wing size? Express your answer as a percentage.
    14·1 answer
  • Need help with all of them
    6·1 answer
  • Please help I need it ASAP
    8·1 answer
  • What Is The Rate Of Change?
    15·2 answers
  • 18
    14·2 answers
  • Can someone help me get this problem will give brainliest to who ever gets it right and 100 points.
    8·1 answer
  • How long is the arc intersected by a central angle of StartFraction 5 pi Over 3 EndFraction radians in a circle with a radius of
    10·1 answer
  • 78 – 24 divided by (14 – 6) x 2
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!