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2 years ago

If the tree grows an additional 10 feet, what is the new angle of

Mathematics

1 answer:

avanturin [10]2 years ago

6 0

Answer:

B) 47.1°

Step-by-step explanation:

The tangent relation is useful here.

Tan = Opposite/Adjacent

The original height of the tree is the side of the triangle that is opposite the angle of elevation:

Opposite = Adjacent × Tan

original height = (25 ft)×tan(34°) ≈ 16.863 ft

After growing an additional 10 ft, the tree has a height of ...

16.863 ft + 10 ft = 26.863 ft

Then the angle of elevation is found from ...

tan(angle) = (26.863 ft)/(25 ft) ≈ 1.07451

angle of elevation = arctan(1.07451) ≈ 47.057°

The angle of elevation to the top of the tree is about 47.1°.

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PLEASE EXPLAIN TOO SO I CAN SOLVE OTHER SIMILAR ONES.

jeka57 [31]

Answer: x = 30' , y = 45'

hope this helps

Step-by-step explanation:

U is 90' it's a right triangle

well simple VRT you already know 2 angles which is 60' and 90'

R = 60'

V = 90'

T = x

you know that a triangle = 180'

so you do

180 - 60 - 90 = x

30 = x

if you want to do y

then you already know that U is 90' on both sides.

since you also know S,

S = 45'

U = 90'

V = y

180 - 90 - 45 = y

45 = y

4 0

3 years ago

The volume of a sphere whose diameter is 18 centimeters is

Ber [7]

Answer:

please give more clarification

5 0

3 years ago

What is the length of line Bc

Maslowich

Answer: sorry if i am wrong but i think it is c or a

Step-by-step explanation:

7 0

3 years ago

Find the line y=a+bx which best approximates the data points

Vika [28.1K]

Answer:

y = 11.84x - 32.71

Step-by-step explanation:

Here, the given data points,

(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),

Let x represents the input value and y represents the output value,

So, the table that represents the given situation is,

x -3 -1 1 2 4

y -70 -42 -21 -9 14

By the above table,

$\sum x=3$

$\sum y=-128$

$\sum xy = 269$

$\sum x^2=31$

$\sum y^2 = 7382$

Let the equation of the line is,

y = bx + a

Where,

$a=\frac{\sum y \sum x^2 - \sum x\sum xy}{n(\sum x^2)-(sum x)^2}$

$b=\frac{n\sum xy - \sum x \sumy}{n(\sum x^2)-(\sum x)^2}$

n = number of data points = 5,

By substituting the values we get,

a = - 32.70547945 ≈ - 32.71,

b = 11.84246575 ≈ 11.84,

Hence, the equation of line would be,

y = 11.84x - 32.71

8 0

3 years ago

What is the equivalent exsprssion of √54

FromTheMoon [43]

Answer:

3 $\sqrt{6}$

Step-by-step explanation:

using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

$\sqrt{54}$

= $\sqrt{9(6)}$ = $\sqrt{9}$ × $\sqrt{6}$ = 3 $\sqrt{6}$

3 0

3 years ago