Mathematics, 31.10.2020 14:20 smithad242

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the
ropes are tied to points A and B on a flagpole, as shown below:
Angle ADC measures 60', and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?

40 feet

20 feet

30 feet

10 feet

WILL MARK BRAINLIEST!!!

Two ropes, AD and BD, are tied to a peg on the ground at point D. The oth

Answers: 3

Show answers

Answers

Answer from: tahjaybenloss16

ans=20 feet

Step-by-step explanation: in triangle ACD,

tan60=AC/10*(sqrt(3)) {since tan= AC/DC}

also tan60=sqrt(3)

therefore sqrt(3)=AC/10*(sqrt(3))

then AC=sqrt(3)*sqrt(3)*10

hence, AC=30 feet (1)

similarly,

in triangle BCD,

tan30=BC/DC

tan30=1/sqrt(3)

hence, 1/sqrt(3)=BC/10*(sqrt(3))

hence, 10*(sqrt(3))/sqrt(3)=BC

therefore BC=10 feet (2)

distance between A and B = AC-BC

=(30-10) feet {from (1) and(2)}

distance between A and B = 20 feet

therefore, distance between A and B is 20 feet

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

Answer from: Quest

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct

Another question on Mathematics

Mathematics, 21.06.2019 22:30

Olga bought a new skirt that cost $20. sales tax is 5%. how much did olga pay, including sales tax? 7.

Answers: 2

Answer

Mathematics, 22.06.2019 01:30

Have you ever been in the middle of telling a story and had to use hand gestures or even a drawing to make your point? in algebra, if we want to illustrate or visualize a key feature of a function, sometimes we have to write the function in a different form—such as a table, graph, or equation—to determine the specific key feature we’re looking for. think about interactions with others and situations you’ve come across in your own life. how have you had to adjust or change the way you represented something based on either the concept you were trying to describe or the person you were interacting with? explain how the complexity or layout of the concept required you to change your style or presentation, or how the person’s unique learning style affected the way you presented the information.

Answers: 1

Answer

Mathematics, 22.06.2019 05:30

Which answer choice listed below is thewhich answer choice listed below is the inverse function of ƒ(x) = x-3 x+3 , x ≠ -3? a) ƒ-1(x) = 3 ( x+1 x-1 ), x ≠ 1 b) ƒ-1(x) = -3 ( x+1 x-1 ), x ≠ 1 c) ƒ-1(x) = 3 ( x-1 x+1 ), x ≠ -1 d) ƒ-1(x) = -3 ( x-1 x+1 ), x ≠ -1inverse function of ƒ(x) = x-3 x+3 , x ≠ -3?

Answers: 1

Answer

Mathematics, 22.06.2019 05:30

In austin texas 8 bats ate 40 grams of insects in one night at this rate how many grams of insects could 64 bats eat in one night

Answers: 1

Answer

You know the right answer?

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the
ropes...

Questions