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Anarel [89]
3 years ago
9

An 80-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top o

f the tree
house? Round your answer to the nearest tenth of a foot.
feet

Mathematics
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

56.6m

Step-by-step explanation:

Using SOH = opp/hyp

Where θ = 45°

Hpy = 80m

Opp = ?

Sin θ = opp/hpy

Sin 45 = opp/ 80

Sin 45 × 80 = opp

0.7071 × 80 = opp

Opp = 56.568

~ 56.6m

Hence the height of the top of the tree is 56.6m

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Two congruent 30-60-90 triangles are placed,as shown,so that they overlap partly and their hypotenuses coincide. If the hypotenu
Ede4ka [16]

Answer: The area common to both triangle is 31.77 sq. cm.

Step-by-step explanation:

Since we have given that

30-60-90 triangles are placed.

So, the ratio of sides would be

1:\sqrt{3}:2

Since Hypotenuse = 12 cm

So, it becomes,

2x=12\\\\x=\dfrac{12}{2}=6

So, Base would be

x=6\ cm

and Perpendicular would be

\sqrt{3}x=6\sqrt{3}

So, Area common to the both triangles would be

\dfrac{1}{2}\times base\times height\\\\=\dfrac{1}{2}\times 6\times 6\sqrt{3}\\\\=18\sqrt{3}\\\\=31.177

Hence, the area common to both triangle is 31.77 sq. cm.

4 0
3 years ago
What is 18.5% of 500?
denis-greek [22]

Answer:

92.5

Step-by-step explanation:

18.5% = 0.185

0.185 x 500 = 92.5

Hope that helps!

4 0
3 years ago
Each side of a square plastic tarp is 9 meters long. what is the tarps perimeter
emmainna [20.7K]

Answer:

36

Step-by-step explanation:

9 times 4

8 0
3 years ago
Exactly 32% of the students in a school play a sport. Fifty students are randomly selected to determine the probability that, at
faltersainse [42]

A binomial probability density function should be used to represent the probability

<h3>How to determine the type of probability density?</h3>

The given parameters are:

  • Proportion that plays sport, p = 32%
  • Number of students selected, p = 50
  • The probability, P = (x ≤ 15)

The proportion that plays sport indicates that

68% of the students do not play sport

So, we have two events, which are

  • Play sport
  • Do not play sport

When there are two possible events, then the binomial probability density function should be used

Read more about binomial probability density at:

brainly.com/question/15246027

#SPJ1

8 0
2 years ago
Setting StartFraction 7 over 3 EndFraction equal to which ratio would result in a valid proportion?
pochemuha

Answer:

Option C is correct

Step-by-step explanation:

In this question, we are asked to select which of the options have the same value as 7/3

We examine the options one urge other.

Option A

9/49; This is wrong as it cannot be divided further to yield while multiples

Option B

18/42; Dividing through by 6 will yield 3/7 which is not same as 7/3; This makes this option wrong too

Option C

42/18; dividing through by 6 will yield 7/3 which makes this option correct

Option D

49/9; This is a dead end as it cannot be divided further to give whole number multiples

6 0
3 years ago
Read 2 more answers
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