1)Find the angle of elevation of the sun from the ground when a tree that is

Mathematics

1 answer:

KIM [24]3 years ago

7 0

Answer:

$\theta=41.18^{\circ}$

Step-by-step explanation:

Given that,

The height of the tree, h = 14 ft

The height of the shadow, b = 16 ft

We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,

$\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}$

So, the required angle of elevation of the sun is equal to $41.18^{\circ}$ .

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Prove that the difference of two odd integers is even. give a justification at each step.

crimeas [40]

Let a, b be two odd integers. Then both can be written as

a=2k-1, k is an integer
b=2m-1, m is an integer

So,

a-b=2k-1-(2m-1)=2k-2m-2=2(k-m-1)

Since, k and m and 1 are all integers, then (k-m-1) is also an integer. Hence, 2(k-m-1) is an even integer.

Thus, a-b is even.

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3 years ago

2 17× 415 find this answer

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Answer:

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