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e-lub [12.9K]
3 years ago
8

If a tree 28 meters tall casts a shadow 32 meters long, what is the angle of elevation of the sun to the nearest degree?

Mathematics
1 answer:
avanturin [10]3 years ago
4 0
Since we need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1.
Setting up the right triangle we have the opposite and adjacent so we use tan.
tan angle = 28/32
tan^-1 (28/32) = 41 degrees
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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
astra-53 [7]

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5 0
3 years ago
1. When a cannonball is fired, the equation of its pathway can be modeled by h = -1612 + 128t.
sashaice [31]

Answer:

The maximum height of the ball is 256m

Step-by-step explanation:

Given the equation of a pathway modelled as pathway can be modeled by h = -16t² + 128t

At maximum height, the velocity of the ball is zero.

velocity = dh/dt

velocity = -32t + 128

Since v = 0 at maximum height

0 = -32t+128

32t = 128

t = 128/32

t = 4seconds

The maximum height can be gotten by substituting t = 4 into the modelled equation.

h = -16t² + 128t

h = -16(4)²+128(4)

h = -16(16)+512

h = -256+512

h = 256m

4 0
3 years ago
Betty wants to bake the perfect cookie. She wants to determine the ideal temperature at which to bake the cookies. She has enoug
borishaifa [10]

The true option about the randomized design is (c) Betty should prepare all 60 cookies.

Each cookie will receive a number.

The numbers will be written on slips of paper, put into a hat, and shuffled well.

The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated.

The given parameters are:

n=60

batches=4

cookies=15 ---- the number of cookies in each batch

Temperature=300,325,350,375.

To randomly assign the cookies to the given temperatures, all cookies have to be subjected to the same conditions (except for the difference in the temperature).

<h3>What is the temperature?</h3>

Normal human body temperature is the typical temperature range found in humans. The normal human body temperature range is typically stated as 36.5–37 °C. Human body temperature varies.

This means that she can bake all the cookies at once at different temperatures while noting down the cookies with a given number.

Hence, the true option is (c)

Read more about randomization at:

brainly.com/question/20046524

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6 0
2 years ago
a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse
Sonbull [250]

Answer:

The power of horse is:  P = 72000 W

Step-by-step explanation:

Given

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  • v = 40.0 m/s

To determine

P = ?

Using the formula

\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}

The  ⋅  in the formula represents a scalar product, defined by:

\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta

The angle Ф is zero because F and v are are parallel.

Thus the cosine is 1.

Therefore,

P = (1800) (40.0)

P = 72000 W

Hence, the power of horse is:  P = 72000 W

3 0
2 years ago
A box of colored crayons contains 16 distinct colors. In how many ways can 14 colors be chosen, assuming that the order of the c
Harrizon [31]
Could you rephrase that? Is it just 14 multiplied by 14?
6 0
3 years ago
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