Mathematics, 21.08.2019 06:10 aavil5659

Bob is standing 25 feet from a lamppost that is to his left and 30 feet from a lamppost that is to his right. the distance between the two lampposts is 20 feet. what is the measure of the angle formed from the line from each lamppost to bob? approximate to the nearest degree.

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Answer from: olganevarez2502

The measure of the angle formed from the line from each lamppost to Bob is 41°

Step-by-step explanation:

* Lets explain how to solve the problem

- Bob is standing 25 feet from a lamppost that is to his left and 30 feet

from a lamppost that is to his right

- Assume that Bob is standing at point B, the position of the left

lamppost is L and the position of the right lamppost is R

∴ Bob , with the two lampposts formed Δ BLH

∵ The distance between Bob and the left lamppost is 25 feet

∴ The length of side BL = 25 feet

∵ The distance between Bob and the right lamppost is 30 feet

∴ The length of side BH = 30 feet

∵ The distance between the two lamppost is 20 feet

∴ The length of side LH = 20 feet

* Lets use the cosine rule to find the angle between Bob and the

two lampposts (∠ LBH)

- The cosine rule in Δ ABC is:

$cos(A)=\frac{b^{2}+c^{2}-a^{2}}{2bc}$ , where a is the side

opposite to angle A and b , c are the other two sides

- In Δ BLH

∵ The side LH is opposite to angle LBH

∵ ∠LBH is the angle between Bob and the lampposts

∴ $cos(LBH)=\frac{(LB)^{2}+(HB)^{2}-(LH)^{2}}{2(BL)(BH)}$

∴ $cos(LBH)=\frac{(25)^{2}+(30)^{2}-(20)^{2}}{2(25)(30)}$

∴ $cos(LBH)=\frac{3}{4}$

- To find the measure of the angle use the inverse function $cos^{-1}$

∴ m∠LBH = $cos^{-1}\frac{3}{4}$

∴ m∠LBH = 41°

∵ ∠ LBH represents the angle between Bob and the lampposts

∴ The measure of the angle formed from the line from each

lamppost to Bob is 41°

Answer from: mwshehat0

Step-by-step explanation:

bob says the instruction is b o o t y.

Answer from: Quest

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all

Answer from: Quest

step-by-step :

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Bob is standing 25 feet from a lamppost that is to his left and 30 feet from a lamppost that is to h...