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solniwko [45]
3 years ago
5

A tree casts a shadow that is 20 feet in length. if the angle of elevation is 32 degrees, which of the following best represents

the height of the tree?
A. 10.5 FT
B. 9.5 FT
C. 11.5 FT
D. 12.5 FT

Mathematics
2 answers:
swat323 years ago
7 0
The answer woudl be d

34kurt3 years ago
7 0

Answer: D. 12.5 FT

Step-by-step explanation:

Let the height of tree be x.

Assume tree is standing vertical to the ground, then it will make right triangle with the shadow of the tree.

Given: The length of the shadow: 20 feet

Using trigonometry,

\tan\thetha=\dfrac{\text{side opposite to }\theta}{\text{Side adjacent to }theta}\\\\\Rightarrow\ \tan32^{\circ}=\dfrac{x}{20}\\\\\Rightarrow\ x=\tan32^{\circ}\times20\\\\\Rightarrow\ x=0.6248693519\times20\\\\\Rightarrow\ x=12.497387038\approx12.5\ ft.

Hence, the height of tree= 12.5 ft.

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Write an exponential expression: choose a number between 0 and 10 to be the base and another number between 0 and 10, different
lesya [120]

Answer:

2^4

2 * 2 * 2 * 2

Step-by-step explanation:

In the question above :

Write an exponential expression:

Base = number between 0 and 10

Exponent = number different from the base between 0 and 10

Let base = 2

Let exponent = 4

Hence, exponential expression will be

Base^exponent

2^4 (standard form)

Expanded form:

2 * 2 * 2 * 2 (multiply 2 in 4 places)

6 0
3 years ago
Esma has a box that is 20 cm wide 10 cm high, and 10 cm deep she wants to fill the box with packages that are 5 cm wide 2 cm hig
anastassius [24]

Answer:

Esma can fit 3 packages in the box because 20+10+10=30 and 5+2+2=9 so if you add up 9 three times you get 27 and that is the closest number you can get before going over.

Step-by-step explanation:

6 0
2 years ago
A book is 21 centimeters long, how long is this in meters?
Gnesinka [82]

Answer:

0.21 meters :)

Step-by-step explanation:

4 0
3 years ago
Help please I give you a cookie
SIZIF [17.4K]
K and j are adjacent
3 0
3 years ago
F(n)=45⋅(4/5)^n−1<br> complete the recursive formula of f(n)
Radda [10]

F(1) = 45

f(n) = f(n-1) * 4/5

Step-by-step explanation:

f(n) = 45 x (4/5)ⁿ⁻¹

f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45

f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²

f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹

7 0
3 years ago
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