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Arlecino [84]
3 years ago
13

A ladder leans against the side of a house. The angle of elevation of the ladder is 67 degrees when the bottom of the ladder is

14 ft from the side of the house. Find the length of the ladder.
Mathematics
1 answer:
Lynna [10]3 years ago
7 0

Answer:

32.98 ft

Step-by-step explanation:

What you have right there is a triangle.

The base of the triangle is given (14 ft)

The angle from the ladder makes while leaning on the house is 67 degrees.

This is a simple trigonometry problem

You want to find the length of the ladder and you don't have the hypotenuse

So you can use the function tan to find it.

tan(Ф) = opposite/adjacent

You are looking for the opposite side length

So you do tan(Ф) * adjacent = opposite

tan(67) * 14 = 32.98 ft

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In what direction and by how many units is the graph of f(x) = −3 cos(2x − π) + 2 vertically and horizontally shifted
MakcuM [25]

Answer:

Vertical shift is 2 units top and horizontal shift is \frac{\pi }{2} units to the right

Step-by-step explanation:

Consider the function f(x) = a cos(bx + c) + d.

In this graph, the horizontal shift is -c/b and the vertical shift is d.

Let's compare our graph, f(x) = -3 cos(2x - π) + 2 with this graph.

Here, a = -3, b = 2, c = -π and d = 2.

So, vertical shift = d = 2 units top and

horizontal shift = -\frac{c}{b} =-\frac{-\pi }{2} =\frac{\pi}{2} units to the right.


8 0
3 years ago
Jack has two jobs. One job is at a gas station where he earns $11.00/hr and works 8 hours per week. His other job is walking dog
defon

Answer:

$208

Step-by-step explanation:

Jack has two jobs

The first one, he works at a gas station where he earns $11/hr, he works for 8 hours in a week

= 11×8

= 88

The second one he earns $120/week for walking dogs

Therefore the total money Jack earns in a week can be calculated as follows

= 120+88

= 208

Hene jack earns $208 in a week

8 0
3 years ago
Aaron wants to make as many gluten-free, low-carb cupcakes as he can for a bake sale. His recipe for 12 such cupcakes requires ⅜
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Answer:You tell me XD

8 0
3 years ago
Read 2 more answers
Greg drew a scale drawing of a house. The hall closet is 2 inches wide in the drawing. The actual closet is 6 feet wide. What is
Vlad [161]
The drawing's scale factor is 
Actual Dimensions:Drawing Measurements
= 36:1
4 0
3 years ago
2.30
Paha777 [63]
The error is if you add all of those times up it is equal to 7.55 minutes and that's more than 6
5 0
3 years ago
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