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Juli2301 [7.4K]
2 years ago
8

You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the groun

d and use trig to calculate the height.
The shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees, This forms a right triangle.
a. What is the measure of the other acute angle?
b. What is the height of the tree?
c. You are standing at the end of the tree's shadow and want to take a picture of the tree but your camera can only focus at distance less than 500 feet. When you hold the camera to take the picture it is 5 feet above the ground. What is the distance from the end of the shadow to the top of the tree?
d. Can you take a clear picture of the top of the tree from where you are standing?
e. How many total tiles will be needed to complete the job?
Mathematics
1 answer:
bezimeni [28]2 years ago
6 0

Answer:

Step-by-step explanation:

given that You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the ground and use trig to calculate the height.

the  shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees, This forms a right triangle.

a) Other acute angle is 90-35 = 55 degrees

b) Height of the tree = 500 tan 35 =350.104 feet

c) Here height would be reduced to 350.104 - 5 = 345.104 feet.

Hence distance adjusted= 354.104 cot 35=492.8596 feet.

d) Yes because this is less than 500 feet.

e) height of 5 feet itself is sufficient here

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pashok25 [27]

Answer:

ok

Step-by-step explanation:

6 0
2 years ago
Please answer this question now
inn [45]

Answer:

t = 17.3

Step-by-step explanation:

The following data were obtained from the question:

Angle T = 87°

Opposite T = t =?

Opposite V = v = 14

Opposite U = u = 11

The value of t can be obtained by using cosine rule formula as shown below:

t² = v² + u² – 2vu CosT

t² = 14² + 11² – 2 × 14 × 11 × Cos87°

t² = 196 + 121 – 308 × Cos87°

t² = 317 – 16.119

t² = 300.881

Take the square root of both side

t = √300.881

t = 17.3

Therefore, the value of t is 17.3

6 0
3 years ago
EASY Work!! Please look at the picture and yes it’s easy for other people but not me for people asking.
Keith_Richards [23]

Answer:

7()=11

8()=42

I could barely see the answer for number 9 sorry :(

Step-by-step explanation:

the 7() is 2(3)+5

2(3)=6

6+5=11

Question (8)

c^2+3a x b

c(6)^2+ 3(3) x 2/3

36+9 x 2/3

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7 0
2 years ago
Read 2 more answers
For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

The inner function is h(x)=4x^2 + 8 and the outer function is g(x)=3x^5.

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

For the function f(x)=3(4x^2+8)^5.

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

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3 years ago
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QveST [7]

Answer:

10

Step-by-step explanation:

p² +3q

= 2² +3*2

=4 + 6

=10

4 0
3 years ago
Read 2 more answers
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