Calvin Butterball is lying on the ground and spots a hot air balloon at an angle of elevation of 28 The distance from Calvin to the hot air balloon is 850 feet. How high in the air is the balloon?

 approximately 399 feet

The more accurate value is 399.050828368008 feet, but this value is still approximate.

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Work Shown:

Refer to the diagram below.

To find x, we'll use the sine rule

sin(angle) = opposite/hypotenuse

sin(28) = x/850

850*sin(28) = x

x = 850*sin(28)

x = 399.050828368008 ...... make sure your calc is in degree mode

x = 399

I'm rounding to the nearest whole number since the given values (28 and 850) are also whole numbers. If your teacher provides other rounding instructions, then be sure to follow that.

The hot air balloon is approximately 399 feet off the ground.

answer: the answer is one

step-by-step explanation:

pemdas, in this situation there is no parenthesis or exponents so you go to multiplication, 1x1=1, then division 1/1= 1 then addition 1+1=2 then subtraction 2-1=1

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true