Help geometry bisecting angles

Mathematics

1 answer:

dusya [7]3 years ago

4 0

Since the angles are bisecting < RSU = < UST

substitution----- 4x+16=9x-9

subtract 4x from both sides----- 16=5x-9

add 9 to both sides-----25=5x

divide by 5 on both sides------ 5=x

The value of x is 5

substitute the value of x in both expressions

1st expression: 4x+16

substitute the value of x------ 4(5)+16= 20+16=36

2nd expression: 9x-9

substitute the value of x-----9(5)-9=45-9=36

< RST= <RSU+<UST

<RSU=36 degrees

<UST= 36 degrees

------------------------------------you have calculated both above-------------------------------------------

m<RST= 36 + 36=72 degrees

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The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b

bazaltina [42]

Answer:

$75.1^{\circ}$

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

$H' = H-h = 452-1.75=450.25 m$

Now we notice that $d$ and $H'$ are the two sides of a right triangle, in which the angle of elevation is $\theta$ . Therefore, we can write the following relationship: