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Vikki [24]
3 years ago
7

A child lies on the ground and looks up at the top of a 9-ft tree nearby. The child is 13 ft away from the tree. What is the ang

le of elevation from the child to the top of the tree? Round to the nearest whole degree.
35°

55°

46°

44°
Mathematics
1 answer:
choli [55]3 years ago
8 0
Draw a right triangle to represent the problem.
The vertical height of the triangle is 9 ft, and it represents the tree.
The horizontal length, at the bottom of the tree is ground level and has a length of 13 ft.

Let x =  angle of elevation.

By definition,
tan x = 9/13 = 0.6923
x = arctan(0.6923) = 34.7 deg. = 35 deg (approx)

Answer: 35°
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What is the slope of a line that is perpendicular to the line y = 8x + 5?
Pavel [41]

The slope of a line that is perpendicular to the line y = 8x + 5 will be -1/8.

<h3>What is the slope of perpendicular lines?</h3>

Suppose that first straight line has slope 's'

Let another straight line be perpendicular to this first line.

Let its slope be 'a'

Then due to them being perpendicular, they have their slopes' multiplication as -1

or

s x a = -1

s = -1/ a

Slope of line y = 8x + 5

s = 8

The slope of a line that is perpendicular to the line y = 8x + 5

8 x a = -1

a = -1/8

Thus, the slope is -1/8.

Learn more about slope here:

brainly.com/question/2503591

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2 years ago
Find the volume of a pyramid with a square base, where the perimeter of the base is 8.6 cm and the height of the pyramid is 8.1
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Answer:  12.5 CC

Step-by-step explanation:

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V=1/3(4.6225)(8.1)=12.5cc

4 0
2 years ago
Jeremiah is driving from Pensacola to Jacksonville. The graph shows his distance from Jacksonville. 36 E 320 28 240 20 160 120 4
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The speed is the change in position divided by the time.

There are four intervals where the speed is uniform:

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2) from 0,5 hours to 3 hours
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8 0
3 years ago
A couple needs $55,000 as a down payment for a home. If they invest the $40,000 they have at 4% compounded quarterly, how long w
slava [35]

Answer:

8 years

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A(t)= A_0(1+\frac{r}{n})^{nt}

A(t) is the final amount 55000

A_0= 40000, r= 4% = 0.04, for quarterly n=4

55000=40000(1+\frac{0.04}{4})^{4t}

divide both sides by 40000

1375=(1+\frac{0.04}{4})^{4t}

1375=(1.01)^{4t}

Take ln on both sides

ln(1375)=4tln(1.01)

divide both sides by ln(1.01)

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3 years ago
26 + 58 rounded to the nearest ten​
Tanya [424]

Answer:

80

Step-by-step explanation:

4 0
3 years ago
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