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gogolik [260]
3 years ago
14

Chelsea sitting 8 feet from the foot of a tree. From where she is sitting the angle of elevation of her line of sight to the top

of the tree is 36°. If your line of sight starts at 1.5 feet above ground how tall is the tree to the nearest foot

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

6 ft

Step-by-step explanation:

We’ll use the trigonometric rule of SOHCAHTOA;

Well use <em>TOA</em> – since we know the value of the adjacent side and we are evaluating for the opposite side;

Tan Φ = Opposite / Adjacent

Tan 36 = x / 8

x = Tan 36 * 8

x = 5.81234

x = 6 ft

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Find the mean, variance, and standard deviation. If necessary, round your answer to the nearest hundredth.
storchak [24]

Your answer would be 4.

4 0
3 years ago
You have $30 to spend on dinner. You can calculate the sakes tax and tip by multiplying the price by .21. What is the most that
Dovator [93]
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Explain: 25 is too much and the next number down was good
5 0
3 years ago
Find the surface area of the figure using the net shown. The area of the figure is yd2
geniusboy [140]

Answer:

Surface area = 233 yards²

Step-by-step explanation:

The surface area of the figure below is the sum of the area of each faces. This means the total surface area of the figure.

The figure has 4 triangle and 1 rectangle. The surface area will be the sum of area of the rectangle and the area of the 4 triangles.

surface  area = base area(rectangle) + 2(area of similar triangle) + 2(area of similar triangle)

Base area

area of the rectangle = length × breadth

area of the rectangle = 16 × 5 = 80 yards²

Area of the 2 similar triangle

area of triangle = 1/2 × base × height

area of triangle = 1/2 × 5 × 5

area of the triangle = 25/2 = 12.5

For the 2 similar triangle = 12.5 × 2 = 25 yard²

Area of the other 2 similar triangle

area of a triangle = 1/2 × base × height

area = 1/2 × 16 × 8 = 128/2 =  64 yards²

For the 2 similar triangle = 64 × 2 = 128 yards²

Surface area =  80 yards² + 25 yard²+ 128 yards² = 233 yards²

7 0
3 years ago
The sugar content of the syrup in canned peaches is normally distributed. A random sample of n = 12 cans yields a sample standar
Dennis_Churaev [7]

Answer:

3.30185\leq σ \leq 8.7636

Step-by-step explanation:

the fromula for 100(1-α)% confidence (two sided) for σ is

√(η-1)*s^2/x^2_α/2,V \leq σ \leq √(η-1)*s^2/x^2_(1-α/2,V)               ∴ (v=n+1)

now data given is n = 12 and s=5.2 mg

for 99% CI ,α=0.05  and (n-1)=9 degree of freedom

from chi- square table x^2_(0.025,9)=19.02 ; x_(0.975,9)=2.7

substitute them in above expression we get

3.30185\leq σ \leq 8.7636

7 0
4 years ago
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Basile [38]
To find the rate (or speed) of an object you use the equation

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64 = r(1.7)    Then divide.
r ≈ 37.65

Then, find the second speed.
d = rt
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Since you need to find the average speed just find the average of the two speeds. So

(42.11 + 37.65) / 2

79.76 / 2

39.88

So the average speed of the train was about 39.9 miles per hour.
4 0
3 years ago
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