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3 years ago

A tree 10 meters high casts a 17.3 meter shadow. Find the angle of elevation to the sun

1 answer:

6 0

Answer:
30.03 degrees

Step-by-step explanation:

You have labeled this diagram correctly.

The trig function that links the side opposite the angle x and the length of the shadow is the tangent function.

Here, tan x = (opposite side) / (adjacent side) = (10 m) / (17.3 m), or 0.578.

Starting from tan x = 0.578, use the inverse tangent function to find the angle, first in radians and then in degrees:

arctan 0.578 = 0.524 radians

Converting this to degrees yields 30.03 degrees. This is the angle of elevation of the sun from the horizontal, from the point where the observer is standing.

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Please need help from math experts!!!! Struggling so hard…

Alenkinab [10]

Answer:

Step-by-step explanation:

A(10,10) B(b,10b)

ax-2y=30

$a)\\a(10)-2(10)=30\\10a-20=30\\10a-20+20=30+20\\10a=50$

Divide both parts of the equation by 10:

a=5

Hence,

5x-2y=30

5(b)-2(10b)=30

5b-20b=30

-15b=30

Divide both parts of the equation by -15:

b=-2

Thus,

a=5 b=-2

$b)\\A(10,10)\ \ \ \ \ \ B(-2,-20)\\ \displaystyle\\C(x_C,y_C)=(\frac{10+(-2)}{2} ,\frac{10+(-20)}{2} )\\\\C(x_C,y_C)=(\frac{10-2}{2},\frac{10-20}{2} )\\\\C(x_C,y_C)=(\frac{8}{2} ,\frac{-10}{2})\\\\C(x_C,y_C)=(4,-5)\\Hence,\ C(4,-5)$

$5x-2y=30\\5x-2y+2y=30+2y\\5x=30+2y\\5x-30=30-30+2y\\5x-30=2y\\$

Divide both parts of the equation by 2:

2.5x-15=y

$c)\\y=2.5x-15$

The equation of the perpendiqular bisector

$\boxed {y=-\frac{x}{k} +b}$

Hence,

$\displaystyle\\y=-\frac{x}{2.5}-15 \\\\y=-0.4x-15$

5 0

2 years ago

What is 2/5 written as a decimal and as a percent

Soloha48 [4]

0.40 as a decimal. 40% as a percent. :)

6 0

3 years ago

Read 2 more answers

Describe how to solve d = rt for t

kotegsom [21]

Answer:

t = d/r

Step-by-step explanation:

Given the equation, d = rt for t:

Switch sides:

rt = d

Divide both sides by r to isolate t:

$\frac{rt}{r} = \frac{d}{r}$

t = d/r

6 0

3 years ago

If the average speed of a car is 100/hr, how much time is needed for the car to travel 715 km?

Delicious77 [7]

Answer:

7.15 hours or 7 hours 9 minutes.

Step-by-step explanation:

Time = distance / average speed.

= 715 / 100

= 7.15 hours.

3 0

3 years ago

Movie tickets for an adult and three children cost $20. an adult's ticket costs $2 more than a child's ticket. find the cost of

valkas [14]

A- price of adult's ticket
c- price of children's ticket

a+3c=20
a=c+2
c=a-2

a+3(a-2)=20
a+3a-6=20
4a=26
a=6.5

The cost of an adult's ticket is $6.50

4 0

3 years ago