MATHEMATICS HIGH SCHOOL

A man walks due west for 4 km. He thenchanges direction and walks on a bearing of
197° until he is south-west of his starting point.
How far is he then from his starting point? with workings

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Let the starting point be B and the stopping be C as shown in the diagram below.

therefore, the angle at A will be (197-90)degree = 107degree

the angle at B is 45degree, since it is directly south west of C.

therefore the angle at C will be A+B+C=180 degree(sum angle of a triangle)

107+45+C=180

therefore, C=180-107-45=28degree

therefore, using sine rule gives;

sinA/a =sinC/c

sin107/a=sin28/4

0.9563/a=0.4695/4

0.9563/a=0.11736

therefore, a =0.9563/0.11736=8.148=8.1km(approx.)

Related Questions

Please help ASAP. I only have five minutes. NO WORK NESSACARY. Thank you ☺️
Calculate cos theta to two decimal places
What is the value of x in this equation? 2x + 2 = -46
Circle R has a radius of 6, and QP is tangent to circle R at point Q. Also, QP = 8. (a) What is the measure of ∠RQP ? Explain your answer. (b) What is the length of RP ? Explain your answer. (c) What is the length of RS ? Explain your answer. (d) What is the length of SP ? Explain your answer.
Find the 20th term of the following sequence. -6, -4, -2, 0, ...

If x, y, and z are integers greater than 1, and (327)(510)(z) = (58)(914)(xy), then what is the value of x? (1) y is prime (2) x is prime

Answers

Answer:

1) 5

2) 5

Step-by-step explanation:

Data provided in the question:

(3²⁷)(5¹⁰)(z) = (5⁸)(9¹⁴)( $x^y$ )

Now,

on simplifying the above equation

⇒ (3²⁷)(5¹⁰)(z) = (5⁸)((3²)¹⁴)( $x^y$ )

⇒ (3²⁷)(5¹⁰)(z) = (5⁸)(3²⁸)( $x^y$ )

⇒ $((3^(27))/(3^(28)))((5^(10))/(5^8))z=x^y$

⇒ $((5^2)/(3))z=x^y$

⇒ $(5^2)/(3)=(x^y)/(z)$

we can say

x = 5, y = 2 and, z = 3

Now,

(1) y is prime

since, 2 is a prime number,

we can have

x = 5

2) x is prime

since 5 is also a prime number

therefore,

x = 5

Please help me !! Answer both correctly for a brainliest and also a thanks ! Don't answer if you don't know it .

Answers

1. Exponential
2000 times 2= 4000 (60)
4000 times 2= 8000 (120)
8000 times 2= 16000 (180)
16000 times 2= 32000 (240)
2. pull a 2x out of everything
answer is b

Attached it how i did it!
~Good Luck~!

If y = 3 when X = -9 find X when y =5

Answers

We don't have enough information to answer that question.

You haven't told us anything about how 'y' depends on 'x',
or how 'y' reacts to a change in 'x'.

If we think about it in terms of a graph, you've given us one point
on the graph . . . the point (-9, 3). In order to answer the question,
we need to know something about the line that goes through the
point. But you haven't told us anything about that, and there are
an infinite number of different lines that can go through one point.

During the past half hour, a restaurant has had 23 orders for Pepsi and 15 orders for Mountain Dew. How many more orders have there been for Pepsi than for Mountain Dew? 7 more orders
5 more orders
8 more orders
12 more orders

Please Help.

Answers

8 more orders and 12 more

A clock shows 5:00. What time is it after the minute hand rotates 90 degrees?

Answers

5:15 Because Rotating 90 Degrees would be at the 3 so. 5:15

Each 90° rotation of the minute hand correspond to 15 minutes.
So will be 5.15 hs

Brigid is building a table with her mom as a weekend project. She needs 5.875 feet of wood. Whatis this amount as a fraction? (1 point)

Answers

Answer:

5.875 as a fraction is 47/8.

Step-by-step explanation:

no explanation lol

Final answer:

The fractional equivalent of the decimal number 5.875 is 5 7/8. This is found by converting the decimal part of the number to a fraction (0.875 becomes 875/1000), simplifying it to the lowest form (7/8), and tacking it onto the whole number part (5).

Explanation:

The fraction equivalent to the decimal number 5.875 feet can be obtained by understanding decimal placement and fractions. A fraction represents a part of a whole and in decimal numbers, the place value after decimal point represents tenths, hundredths, thousandths, and so on. Looking at the decimal number 5.875, the three digits after the decimal represent the thousandth place.

So, convert 875 thousandths to a fraction. In fraction form, it would thus be 875/1000. However, we simplify to get the equivalent fraction by dividing both the numerator (875) and the denominator (1000) by their greatest common divisor (GCD) which is 125. Hence, 875 divided by 125 gives 7, and 1000 divided by 125 gives 8. Consequently, the fraction for 0.875 is 7/8.

Therefore, 5.875 feet is equal to 5 7/8 feet in fractional form.