If the shadow of a pole 12m high is 2/3 of its length, what is the angle of elevation of the sun?

Answers

Answer 1

Answer: To find the angle of elevation of the sun, you can use the tangent function. Given that the shadow of the pole is 2/3 of its length (12 meters), you can set up the following trigonometric relationship:

tan(angle of elevation) = (height of the pole) / (length of the shadow)

tan(angle of elevation) = 12 / (2/3 * 12)

Now, calculate the length of the shadow:

2/3 * 12 = 8 meters

So, tan(angle of elevation) = 12 / 8

tan(angle of elevation) = 3/2

To find the angle of elevation, take the arctan (inverse tangent) of 3/2:

angle of elevation = arctan(3/2)

Using a calculator or trigonometric tables:

angle of elevation ≈ 56.31 degrees

So, the angle of elevation of the sun is approximately 56.31 degrees.

Related Questions

Two lines are perpendicular, and neither line is horizontal. Which of the following is not necessarily true of the lines?A. The slopes of the two lines are opposite reciprocals. B. One line must have a positive slope. C. The y-intercepts are the same. D. One line must have a negative slope.
Does proportional and congruent mean the same thing?
A liquid-filled glass pyramid is being erected as part of a museum attraction. The pyramid is designed to be 15 feet tall with a rectangular base that is 10 feet long and 6 feet wide. What is the total amount of liquid that the pyramid can hold?A.156 cubic feet B.278 cubic feet C.300 cubic feet D.324 cubic feet
Which linear function equation would contain the points below? (-6,-8) and (12,4)
A two pound box of spaghetti costs $2.50. Philip says that the unit cost is 2/2.50 =$0.80 per pound. Explain his error

A ladder is 95 inches tall. How tall is it in feet and inches

Answers

The answer is 7.91667 in feet but it is ninety five in inches.

The ladder is about 7' 9''

Factor 2x^3-12x^2+16x

Answers

Answer:

2x ( x-4) (x-2)

Step-by-step explanation:

A little more than 43 million households own dogs in the US. The rate of increase in dog ownership is 1.5% each year. Approximately how many households are expected to own dogs in 10 years, if this trend continues?

Answers

$K_n=K(1+(r)/(100))^n$
Kn is the value searched
K --> capital
r --> interest rate
n --> number of compounding periods
$K_n=43000000*(1+(1,5)/(100))^1^0$ = 49903255.48

Does someone know how to solve this problem?

Answers

Answer:

Acute scalene triangle.

Step-by-step explanation:

Acute scalene triangle.

Sides: a = 4 b = 7 c = 8

Area: T = 13.998

Perimeter: p = 19

Semiperimeter: s = 9.5

Angle ∠ A = α = 29.995° = 29°59'41″ = 0.524 rad

Angle ∠ B = β = 61.028° = 61°1'42″ = 1.065 rad

Angle ∠ C = γ = 88.977° = 88°58'37″ = 1.553 rad

Height: ha = 6.999

Height: hb = 3.999

Height: hc = 3.499

Median: ma = 7.246

Median: mb = 5.268

Median: mc = 4.062

Inradius: r = 1.473

Circumradius: R = 4.001

Vertex coordinates: A[8; 0] B[0; 0] C[1.938; 3.499]

Centroid: CG[3.313; 1.166]

Coordinates of the circumscribed circle: U[4; 0.071]

Coordinates of the inscribed circle: I[2.5; 1.473]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 150.005° = 150°19″ = 0.524 rad

∠ B' = β' = 118.972° = 118°58'18″ = 1.065 rad

∠ C' = γ' = 91.023° = 91°1'23″ = 1.553 rad

the table shows the height of a plant as it grows. Which equation in point slope form gives the plants height at any time?

Answers

Answer:

y - 21 = 7(x - 3)

Step-by-step explanation:

If we plot the points on a graph having time on x axis and plant height on y axis then the two points will be (3, 21) and (5, 35).

Let the equation of the line is y - y'= m(x - x')

where m = slope of the line

Now slope of the line joining these points 'm' = $(y-y')/(x-x')$

m = $(35-21)/(5-3)$

m = $(14)/(2)$

m = 7

Now the equation that passes through the point (3, 21) will be y - 21 = 7(x - 3)

Therefore, equation that represents the height of the plant at any time is y - 21 = 7(x - 3)

(3,21)(5,35)
slope = (35 - 21) / (5 - 3) = 14/2 = 7

possible answers are :
y - 21 = 7(x - 3)
or
y - 35 = 7(x - 5)
or
y - 49 = 7(x - 7)
or
y - 63 = 7(x - 9)

Given the D is important the midpoint of AB and B is the midpoint of AC , which statement must be true

Answers

Okay so these statements are not true except for these
AK + BK = AC
Since BK = KC, so
AK + KC = AC

D bisects AK is not necessarily true since it is not stated that D and K lie on the same line.

Answer:

BK = KC

Step-by-step explanation:

Other Questions

*Which does NOT describe SLOPE?unit raterate of change"per"initial value

Liam is using the Fermi process to estimate the number of standard sheets of U.S. writing paper that would need to be stacked on top of one another to reach the top of washington monument . Mason knows that a standard sheet of writing paper is approximately 0.004 in. thick and the washington monument is 555 ft tall. how many sheets of paper are needed

Y = x - 2 and y=-2x +7

Given the graphs of f(x) = X - 8 and g(x) = -4x + 2, find the solution to this system of equations: Y - X = -8 and 4x + y = 2 A) (0, 2) B) (0.-8) C) (2, -6) D)