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Ratling [72]
3 years ago
12

you are looking at the top of a tree. The angle of elevation is 66 degrees. The distance from the top of the tree to your positi

on is 108 feet. If you are a 5.75 feet tall, how tall is the tree (round to the nearest hundredth)
Mathematics
2 answers:
sleet_krkn [62]3 years ago
8 0

103! 108 divided by 5.75 = 102.25
iVinArrow [24]3 years ago
3 0

Answer:

Step-by-step explanation:

A right angle triangle is formed. The distance from the top of the tree to your position represents the hypotenuse of the right angle triangle. The height of the tree represents the opposite side of the right angle triangle.

The height of the tree from the ground is the sum of the length of the opposite side and your height.

To determine the length of the opposite side, h, we would apply the Sine trigonometric ratio.

Sinθ = opposite side/hypotenuse Therefore,

Sin 66 = h/108

h = 108Sin66 = 108 × 0.9135

h = 98.66

Therefore, height of tree is

98.66 + 5.75 = 104.41 feet

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40081 in scientific notation
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4.0081 x 10 to the 4th power. I know because I did this one.

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3 years ago
Question 1
Tanzania [10]

Answer:

Mortality rate is 0.5 per 1000 habitant

the number of deaths have increased (from 210 to 250)

Step-by-step explanation:

Hello

Mortality rate is the number of deaths in a specific population,usually expressed in units of deaths per 1,000 individuals per year

Mortality\ rate\ (S)= \frac{(D)}{(P)} *10^{n} \\\\\\\\

where

S=Mortality rate

D=deaths

P= population

n= is a conversion form ,such as multiplying by  10^{3}=1000, to  get mortality rate per 1,000 individuals( we will use n=3)

step 1

asign

S=unknown

D=250

P=500000

n=3, (for each  1000 people)

step 2

Replace

S=\frac{250}{500000}*1000\\S=\ 0.5\ per\ 1000

Mortality rate is 0.5 per 1000 habitant

step 3

what if S=0.42

S=0.42(assuming it is 0.42 per 1000,n=3)

D=unknown

P=500000

(S)= \frac{(D)}{(P)} *10^{n}\\\\isolatin D\\\\S*P=D*10^{n}\\ D=\frac{S*P}{10^{n} } \\\\and\ replacing\\\\D=\frac{(0.42)*(500000)}{10^{3} }\\\\ Deaths=210\\

the number of deaths have increased (from 210 to 250)

Have a great day

5 0
3 years ago
Mr.Harris worked 40 hours this week. He also got a bonus of $180. He made a total $780. How much does Mr. Harris earns per hour?
Aloiza [94]

Answer: $15

Step-by-step explanation:

$780 - $180 = $600

$600/40hrs = $15

7 0
3 years ago
Help with this question please!!
notsponge [240]
18x can also be expressed as:

= 2x * (4+5)
= 2x * 9
= 18x

ANSWER: 2x * (4 + 5)

Hope this helps! :)
3 0
3 years ago
Read 2 more answers
Write two numbers that multiply to the value on top and add to the value on bottom.
Marizza181 [45]

Answer:

2?

Step-by-step explanation:

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