Mathematics High School

X, Y and Z are three points on a map. Y is 75km and on a bearing of 200° from X. Z is on a bearing of 150°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP.

Answers

Answer 1

Answer:

The distance between X and Z is approximately 114.9 km

Step-by-step explanation:

The given parameters are;

The distance of Y from X = 75 km

The bearing of Y from X = 200°

The bearing of Z from Y = 150°

The bearing of Z from X = 180°

In triangle XYZ, we have;

∠YZX = 180° - (130° + 20°) = 30°

By sine rule, we have;

(75 km)/sin(30°) = XZ/(sin(130°))

XZ = sin(130°) × (75 km)/sin(30°) ≈ 114.9 km

The distance between X and Z ≈ 114.9 km. to one decimal place.

X, Y And Z Are Three Points On A Map. Y Is 75km And On A Bearing Of 200 From X. Z Is On A Bearing Of

Related Questions

Sarah had 36 free throw attempts during a game and made at least 75% of the free throws.

What is the greatest number of free throws Sarah could have missed during the game?

Answers

Answer:

9 free-throws

Step-by-step explanation:

75% of 36 = 27

36-27=9

She could have missed up to nine free throws

Answer:

3

Step-by-step explanation:

25% of 12 is 3. Brainliest pls :)

What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?

A. y= 3x + 1
B. y= x-3
C. y= 2x + 5
D. y= 2x-5


° ♡ ₒ ♡ °
thank you!

Answers

D.y=2x-5


I think, i hope this helps
The slope intercept form is y= 2x-5

Can you please mark BRAINLEST
Other Questions
Tables6481212241630ProportionalNot Proportional Need help! Will mark Brainliest if correct! ____ is an example of a physical process that a physical geographer would study.A. CultureB. An oceanC. Plate tectonics D. The environment Which item does not contain a noble gas?neon signmp3 playerflash camerahelium balloon I need to write an email to cancel the IB test I registered for. Please help I am not good with emails This is correct right? What is the area of the circle? Round your answer to the nearest tenth of a square inch. Helppppp this is really hard What is everything in our physical environment made of? *A matterB solidsC gases I need help on this with solutions please why human are not responsible for global warming? PWEASE HELP ME Due to the known mutualistic relationships between M. smithii, Bacteroides, and the human gut, why might overweight study subjects have a different methane and hydrogen profile compared to healthy weight study subjects? Find the arc length of the semicircle. 8 Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)Create a circle using the center with given point tool.Use the compass tool to create three more circles, with the same radii as the first.Connect the point with a line through the center of the circle.Create another circle with the same radius as the original. When you restate the meaning of a passage of work, you areGroup of answer choicesCitingQuotingParaphrasingSummarizing A block of silver is weighing 8 ounces is worth $104. What is the unit rate for the Value of silver in one ounce Can someone please help me out with this Ill mark u brainliest 1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of varnish what quantity of mineral spirits will i need in ml ? 3-Robison's tapestries all measure 1.5m x 1m wide. Express the proportion of the tapestries' heights to width using whole numbers. Give the answer in ration. Which was the last English colony founded in North America?A. CarolinaB. New OrleansC. DetroitD. GeorgiaE. Pennsylvania find the slope thanks What is 3 fourths times one half