Mathematics, 22.09.2019 21:50, brittanyjacob8

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. john, who is standing 20 meters from jack as shown in the diagram, determines that the angle of elevation to the top of the tower is 60°. if jack’s and john’s eyes are 1.5 meters from the ground and the distance from jack's eyes to the top of the tower is 50.64 feet, how far is john from the base of the tower?
24.5 meters
16.1 meters
22.2 meters
18.8 meters

Answers: 2

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Answers

answered: hunterbesch03

tan(40) = (y + 1.5) / (x + 20)

y + 1.5 = (x + 20)[tan(40)]

y = (x + 20)[tan(40)] - 1.5

tan(60) = (y + 1.5) / x

y + 1.5 = (x)[tan(60)]

y = (x)[tan(60)] - 1.5

(x)[tan(60)] - 1.5 = (x + 20)[tan(40)] - 1.5

(x)[tan(60)] = (x + 20)[tan(40)]

(x)[tan(60)] = (x)[tan(40)] + (20)[tan(40)]

(x)[tan(60)] - (x)[tan(40)] = (20)[tan(40)]

(x)[tan(60) - tan(40)] = (20)[tan(40)]

x = [(20)(tan(40))] / [tan(60) - tan(40)]

x = 18.8 meters

answered: 20stirltrer

Option 4 - 18.8 meter.

Step-by-step explanation:

Given : Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who is standing 20 meters from Jack.

Determines that the angle of elevation to the top of the tower is 60°. If Jack’s and John’s eyes are 1.5 meters from the ground and the distance from Jack's eyes to the top of the tower is 50.64 feet.

To find : How far is John from the base of the tower?

Solution :

Let x be the distance between John and clock tower.

Let y be the vertical distance from the eyes of the two men standing to the top of the clock tower.

First we take a right angle triangle ABD,

Apply trigonometric,

$\tan\theta=\frac{\text{Perpendicular}}{\text{Base}}$

$\tan(40)=\frac{(y + 1.5)}{(x + 20)}$

$\tan(40)\times (x+20)=(y + 1.5)$

$y=[\tan(40)\times (x+20)]-1.5$

Now, we take right angle triangle ACD,

$\tan\theta=\frac{\text{Perpendicular}}{\text{Base}}$

$\tan(60)=\frac{(y + 1.5)}{(x)}$

$\tan(60)\times (x)=(y + 1.5)$

$y=[\tan(60)\times x]-1.5$

Now, Solving for x equating both y

$[\tan(60)\times x]-1.5=[\tan(40)\times (x+20)]-1.5$

$\tan(60)\times x=\tan(40)\times (x+20)$

$\tan(60)\times x=\tan(40)\times x+\tan(40)\times 20)$

$x(\tan(60)-\tan(40))=20\tan(40)$

$x=\frac{20\tan(40)}{\tan(60)-\tan(40)}$

$x=\frac{20(0.8390)}{1.732050-0.8390}$

$x=\frac{16.7819}{0.8929}$

x=18.79

Therefore, Option 4 is correct.

Distance of John from the base of the tower is 18.8 meter.

Refer the attached figure.

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of

answered: Guest

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.

answered: Guest

answer:

step-by-step explanation:

odd numbers are only divisible by 1 and itself.

even numbers are divisible by more than 1 and itself.

for example 6 is even because it is divisible by more than 1 and its self. 1 x 6= 6 ; 2 x 3= 6

and 7 is odd because only 7 x 1 equals seveb

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