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3 years ago

What would be the angle of elevation of a tree from the ground, if the height of the

Mathematics

1 answer:

garri49 [273]3 years ago

7 0

Answer:

45°

Step-by-step explanation:

The diagram for this question has been attached to this response. Please check.

<em>The angle of elevation is the angle between a horizontal line from a viewer and the line of sight to an object being viewed which is above the horizontal line.</em>

From the diagram;

θ is the angle of elevation

x = height of the tree

y = length of the shadow of the tree = x

Therefore,

tanθ = $\frac{x}{y}$ [Remember that y = x? Then substitute into the equation]

tanθ = $\frac{x}{x}$

tanθ = 1

θ = tan⁻¹(1)

θ = 45°

Therefore, the angle of elevation is 45°

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The airplane Li's family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane,

Flauer [41]

Answer:

A) 96 + x ≤ 149

Step-by-step explanation:

The airplane can hold 149 passengers.

There are already 96 passengers on board.

They can add x additional passengers, as long as they bring the total to no more than 149.

The inequality is

96 + x ≤ 149

3 0

3 years ago

Read 2 more answers

4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of

atroni [7]

Answer:

Step-by-step explanation:

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3 years ago

List 3 values that would make this inequality true 43 < y -30

prohojiy [21]

43 < y - 30
add 30 to both sides
73 < y

y can be anything that is greater than 73
so it could be...
101, 74, 90, 75, 980767, 5674, etc.

Hope this helps!

4 0

3 years ago

Find the number of real solutions of each equation using the discriminant.

lianna [129]

Answer: 1: x^2 + 25 = 0 x=5

2: x^2 - 11x + 28 = 0 x=7 i think

3: x^2 + 8x + 16 = 0 x=-4

Step-by-step explanation:

8 0

3 years ago

What is the solution to the system? 1. x-y + 2 z = -7<br> 2. y + z =1<br> 3. x-2 y - 3 z = 0

kvv77 [185]

You'd find this problem easier to understand and do if you'd please list the defining equations vertically and line up variables:

1. x - 1y + 2 z = -7

2. y + 1z = 1

3. x - 2 y - 3 z = 0 Now eliminate the line numbers:

x - 1y + 2 z = -7

1y + 1 z = 1

x - 2 y - 3 z = 0

Let's use the elimination method to eliminate variable z: Seeing that z = 1 - y, we transform the first equation into 1x - 1y + 2(1-y) = -7

and the third into x - 2y - 3(1-y) = 0.

Simplifying 1x - 1y + 2(1-y) = -7

and x - 2y - 3(1-y) = 0,

we get

1x - 2y - 3 + 3y) = 0 and 1x - 1y + 2 - 2y = -7

which in turn simplify to

1x + y = 3 and 1x - 3y = -9

Having eliminated the variable z, we now focus on eliminating x. Mult. the 1st equation by -1, obtaining -1x - 1y = -3. Add this result to 1x - 3y = -9:

0 - 4y = -12, which tells us that y = 3. Subbing 3 for y in 1x + 1y = 3 tells us that x = 0.

All we have left to determine is the vaue of z.

Borrowing Equation 3, from above, we get x - 2 y - 3 z = 0, and into this equation we substitute x = 0 and y = 3: 0 -2(3) - 3z = 0.

Thus, -3z = 6, and z = -2.

The solution set is (0, 3, -2). You should check this by substitution.

3 0

3 years ago