Warfare between the french and english, between 1689 and 1763, ended with ____

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. the angle

Mekhanik [1.2K]

The height of the tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.

<h3>What is right angle triangle property?</h3>

In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.

$\tan\theta=\dfrac{b}{a}$

Here, (b) is the opposite side, (a) is the base side.

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence.

The angle of elevation of the tree from one position on a flat path from the tree is

$H=40^o$

From a second position,

$I=60\rm\; ft$

Farther along this path it is,

$b=30^o$

Let the distance between tree and first position is x. Thus, from the trigonometry,

$\tan 40=\dfrac{h}{x}\\h=x\tan 40$ ....1

The distance between tree and second position is (x+60) ft. Thus, again from the trigonometry,

$\tan 30=\dfrac{h}{x+60}\\h=(x+60)\tan 40$ ......2

Compare the equation 1 and 2,

$x\tan (40)=(x+60)\tan 30\\0.839x=0.577x+34.64\\0.839x-0.577x=34.64\\x=\dfrac{34.64}{0.262}\\x=132.25\rm\; ft$

Put this value in equation 1 as,

$h=(132.25)\times \tan40\\h\approx111\rm\;ft$

Thus, the height of the tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.

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7 0

2 years ago

Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 1

zloy xaker [14]

Answer:13

Explanation:

3 0

3 years ago

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What is the function of a prepositional phrase?

iragen [17]

Answer:

to join together phrases

Explanation:

A prepositional phrase can be used to modify nouns and verbs. They provide color information in a sentence.

5 0

3 years ago

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A 0. 75-kg ball is attached to a 1. 0-m rope and whirled in a vertical circle. The rope will break when the tension exceeds 450

8090 [49]

At the bottom of the circle, the ball is being pulled upward by tension in the rope and downward by its own weight, so that the net force on it is

∑ F = 450 N - (0.75 kg) g = (0.75 kg) a

where a is centripetal acceleration. At this maximum tension, the ball has a maximum centripetal acceleration of

a = (450 N - (0.75 kg) g) / (0.75 kg) = 590.2 m/s²

Then its maximum tangential speed v is such that

a = v² / (1.0 m)

⇒ v = √((1.0 m) a) ≈ 25 m/s

7 0

2 years ago

Present three incidences, as examples, where sport personalities right were violated

stellarik [79]

The incidences are:

Kevin Prince Boaten, a football player from Ghana, was constantly noticed because of his black race.

<h3>How does racism influence participation in sport?</h3>

Others are:

Jackie Robinson, experienced being criticized for his black color but he was said to be the first African-American player.
Anthony Mundaine was a player in Australia who opt for boxing instead of being in the Rugby League as a result of racial discrimination.

Racism is known to be a major to participation in sports. Note that as a result of people experiencing discrimination, there may be a reduction in the people's participation in it.

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7 0

2 years ago

Warfare between the french and english, between 1689 and 1763, ended with _____.