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
RUDIKE [14]
3 years ago
12

The tower is 650 meters high. Suppose a building is erected such that the base of the building is on the same plane as the base

of the​ tower, the angle of elevation from the top of the building to the top of the tower is 80.38° and the angle of depression from the top of the building to the foot of the tower is 65.05​°. How high would the building have to​ be?
Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

173.57\ m

Step-by-step explanation:

Let

h -----> the height of the building

x -----> the horizontal distance between the building and the tower

we know that

tan(80.38\°)=(650-h)/x

solve for x

x=(650-h)/tan(80.38\°) -----> equation A

tan(65.05\°)=h/x

solve for x

x=h/tan(65.05\°) ------> equation B

equate equation A and equation B and solve for h

h/tan(65.05\°)=(650-h)/tan(80.38\°)

tan(80.38\°)h=(650-h)tan(65.05\°)

tan(80.38\°)h=(650)tan(65.05\°)-(h)tan(65.05\°)

h[tan(80.38\°)+tan(65.05\°)]=(650)tan(65.05\°)

h=(650)tan(65.05\°)/[tan(80.38\°)+tan(65.05\°)]  

h=173.57\ m

You might be interested in
38% of what is 152? Show work
marusya05 [52]
Take that certain number we are looking for as 'n'

38% ⇒ 0.38

0.38n = 152

Divide by 0.38

0.38n = 152
 /0.38      /0.38

n = 400

So 38% of 400 is 152.
3 0
4 years ago
Read 2 more answers
When we first learn arithmetic, we focus on working with whole numbers. Then, we extend our understanding to fractions and negat
vodka [1.7K]

Answer:

I don't think I can remember every skill I was taught through the years but in Kindergarten we used Number Sense so we could understand the meaning of more and less also there's estimation and  PEMDAS. I've also learned how to round up so that the solution is at least around those numbers if the skill is to be applied.

hope that helps

Step-by-step explanation:

3 0
2 years ago
I WILL AWARD BRAINLIEST!!
AnnZ [28]

Answer:

Can not be determined (CNBD)

Step-by-step explanation:

In the given triangle ACI,

M is the mid point of CI, So we have

CM= MI

also AM=AM   ( reflexive property )

So far we have two pairs of corresponding sides are congruent in ΔCAM and ΔIAM

To prove that ΔCAM≅ΔIAM using SSS (side side side ) congruence theorem

we should have AC =AI , but it is not given,so we can not say that AC=AI

To prove that ΔCAM≅ΔIAM using SAS (side angle side ) congruence theorem

we should have ∠AMC=∠AMI, but it is not given,so we can not say that  ∠AMC=∠AMI

We can not determine that ΔCAM is congruent to which triangle

Hence the answer is Can not be determined (CNBD)


5 0
3 years ago
Imeldas jigsaw puzzle has 500 pieces. She estimates that she put togethe approximately 95 of the pieces.
tekilochka [14]

Answer:

19% done

81% left

Step-by-step explanation:

95/500=19

100-19=81

7 0
3 years ago
In the figure below, XZ =DF and _X = D.
yuradex [85]

Answer:

Option (4)

Step-by-step explanation:

Given : XZ ≅ DF and ∠X ≅ ∠D

To prove : ΔXYZ ≅ ΔDEF

Statements                               Reasons

1). XZ ≅ DF                                 1). Given

2). ∠X ≅ ∠ D                              2). Given

3). XY ≅ DE                                3). Required information

4). ΔXYZ ≅ ΔDEF                      4). By SAS property of congruence

Therefore, Option (4) will be the answer.

4 0
3 years ago
Other questions:
  • Whats an equivlent expression to 1/3 minus y (you can decide what y is
    13·1 answer
  • Two numbers are in ratio of 2 to3 if the smaller number is 18 the larger number is what
    15·2 answers
  • Let A = {10, 20, 30, 40, 50, 60} and B = {10, 40, 60}. What is A ∩ B?
    5·2 answers
  • Please help me with this geometry question !!
    8·1 answer
  • What is the slope of a line perpendicular to the line whose equation is y = 2x + 5?
    14·2 answers
  • solve using algebra peter has twice as many stickers as joe. joe has 40 more stickers than emily. they have 300 stickers altoget
    5·1 answer
  • Consider the hypotheses shown below. Given that x=117
    12·1 answer
  • Please help (just tell me what i have to put in the blanks, i’ll give credit)
    7·1 answer
  • Round 14.5621 to the nearest hundredth. Do not include extra zeros in your answer.
    9·1 answer
  •  The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day 358 people entered the park,
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!