The treasure map in the figure gives the following directions to the buried treasure: "Start at...

The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 510 paces, then due east for 130 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle 60? east of north. After walking 360 paces you see an opening through the woods. (Figure 1)

Part A

Which direction should you go to reach the treasure?

Part B

How far should you go to reach the treasure?

Expert Solution

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars.

The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 510 paces, then due east for 150 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle 60? east of north. After walking 350 paces you see an opening through the woods.(Figure 1)

1)Which direction should you go to reach the treasure?

2How far should you go to reach the treasure?

co-ordnate of treasire = 150 i^ + 510 j^

position of the person after travelling along the wall = 350 * sin 60 i^ + 350*cos 60 j^ = 303.1089 i^ + 175 j^

so vector to be taken to reach the treasure = final position - intial = 150 i^ + 510 j^ - 303.1089 i^ - 175 j^ = -153.1089 i^ + 335 j^

so direction in angle = tan inverse ( 153.1089 / 335 ) = 24.562 degrees west of North

2) distance = sqrt ( 153.1089^2 + 335^2) = 368.3305 paces

genius_generous answered 1 year ago

1. The treasure map in the figure gives the following directions to the buried treasure: "Start...

1. The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 510 paces, then due east for 150 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle 60 ^\circ east of north. After walking 350 paces you see an opening through the woods. a....

a) A treasure map gives the following directions: (1) Walk fifty meters at 30 degrees north...

a) A treasure map gives the following directions: (1) Walk fifty meters at 30 degrees north or east from the old oak tree. (2) Turn 45 degrees to your left (you should now be facing 75degrees north of east) and walk another fifty meters. You will find the treasure buried under a rock. What straight-line path would take you directly from the old oak tree to the rock with the treasure buried under it? b) You followed the first direction...

You find a pirate map which describes the path to a buried treasure. Starting from an...

You find a pirate map which describes the path to a buried treasure. Starting from an old oak tree in a field, the map instructs you to walk 16.0 meters due west, then turn in the direction 30.0 degrees north of east and walk an additional 21.0 meters. Finally, you need to walk 7.50 meters due south to where the treasure is buried. How far away from the base of the oak tree and in what direction is the treasure...

You are a famous archaeologist/treasure hunter ́a la Indiana Jones. After following a treasure map you...

You are a famous archaeologist/treasure hunter ́a la Indiana Jones. After following a treasure map you find yourself deep inside a Babylonian temple. As you reach the end of a long corridor you find it splits into two paths. Above the first path you make out some text carved into the rock. Shining your torch you manage to make out the following two inscriptions on the wall: 1. L1 ∧ T2 2. (L1 ∧T2)∨(L2 ∧T1) Knowing that the Babylonians were...

While following a treasure map, you start at an old oak tree. You first walk 875 mm directly south, then turn and walk 1.33 km at 30.0° west of north

While following a treasure map, you start at an old oak tree. You first walk 875 mm directly south, then turn and walk 1.33 km at 30.0° west of north, and finally walk 1.00 km at 32.0° north of east, where you find the treasure: a biography of Isaac Newton! 1) To return to the old oak tree, in what direction should you head? Use components to solve this problem. Express your answer in degrees. 2) How far will...

In a book named Treasure, the reader has to figure out where a 2.2 pound, 24...

In a book named Treasure, the reader has to figure out where a 2.2 pound, 24 kt gold horse has been buried. If the horse is found, a prize of $27,067 a year for 20 years is provided. The actual cost to the publisher to purchase an annuity to pay for the prize is $284,200. What interest rate (to the nearest percent) was used to determine the amount of the annuity? (Assume end-of-year payments.) (Round factor values to 5 decimal...

I am supposed to map out the following and can't figure out how to do it!...

I am supposed to map out the following and can't figure out how to do it! Can somebody help? The experiment has to do with determining the simplest formula of potassium chlorate and to determine the original amount of potassium chlorate in a potassium chlorate-potassium chloride mixture by measuring the oxygen lost from decomposition. The chemical reaction is 2KClO3(s) ------> 2KCL(s) + 3 O2(g) I am supposed to map out 1. Mass of oxygen lost in the first part 2....

Draw a mind map of Business Environments, Ethics and Strategy. (Hint: Start your mind-map with three...

Draw a mind map of Business Environments, Ethics and Strategy. (Hint: Start your mind-map with three boxes at the center, one for each of Environments, Ethics, and Strategy.) and a short summary of this mind map not more than 100 words.

The map of the lac operon is: POZY The promoter (P) region is the start site of...

The map of the lac operon is: POZY The promoter (P) region is the start site of transcription through the binding of RNA polymerase before actual mRNA production. Mutationally altered promoters (P-) cannot bind RNA polymerase. Certain predictions can be made about the effect of P- mutations. Use your predictions and your knowledge of the lactose system to complete the following table. Insert a “+” where an enzyme is produced and a “-“ where no enzyme is produced. The first one...

The figure gives the acceleration of a 4.0 kg particle as an applied force moves it...

The figure gives the acceleration of a 4.0 kg particle as an applied force moves it from rest along an x axis from x = 0 to x = 9.0 m. The scale of the figure's vertical axis is set by as = 8.0 m/s2. How much work has the force done on the particle when the particle reaches (a) x = 4.0 m, (b) x = 7.0 m, and (c) x = 9.0 m? What is the particle's speed...

Question