5. Two hikers left a cabin at the same time. One hiker travelled on a course of 248 at 6 km/h. The other travelled at 4 km/h on a course of 132. How far apart were the hikers after 4 h, correct to the nearest km? Cabin 000 270° 090 180

Q: Given a = 10 and B = 150° in triangle ABC, determine the values of b for which A has (a) exactly one…

A: Given problem:- Given a = 10 and B = 150° in triangle ABC, determine the values of b for which A has…

Q: Three microphones recorded an explosion. The sound reached the microphone at site A 2.5 seconds…

A:

Q: Solve for the values of x, y and z in the triangle below. 61° Ox= 29; y = 29; z= 61 O x = 29; y =…

A: Answer and explanation is given below..

Q: An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If…

A:

Q: Estimate the measure of ZOPQ to the nearest 10°.

A: Estimate the angle nearest 10°.

Q: There is a wind of 35 mi/h from 320°. Find the airspeed in order that the groundspeed and course be…

A: The velocity of the wind is given by the vector, vw=35 cos(320°)i +35 sin(320°)j mi/h. The…

Q: To a cyclist travelling due north along a straight road at 10km/h, the wind appears to come from the…

A:

Q: 3. Captain in on a geo-cache hunt. His gps tells him that he is 40m away from the treasure. He walks…

A: Given, Captain is 40m away from treasure  He walks 24m due west Now, GPS tell that treasure is due…

Q: Suppose I am in a boat and I travel at the bearing N80°E at 33 knots for 5 hours. At the end of the…

A:

Q: Solve for y using trig ratios. (Round to the nearest whole number) 38 /56° y 21 32 68

A: A triangle is a polygon with three sides. A right triangle is a triangle with one of its angles…

Q: LA and ZB are supplementary. If the mZB is 49°, what is the m/A? What type of reasoning do you use,…

A: Given: ∠A and ∠B are supplementary and m∠B=49°. To find: m∠A. Solution: We know that two angles are…

Q: Brad sails for 32 km in the direction N 83° W (83 degrees west of north). Angelina sails for 28 km…

A: Draw diagram representing the positions:

Q: 15° 25° The sign said the tower was 30 meters high. Because of social distancing, Luke and Liam…

A: Since, Height of tower=30 metres.The difference between the distance of Luke and Liam from the…

Q: For the following diagram i. Find the measure of ZB ii. Write the equation you would use to solve…

A: Here we can use sin formula to find the unknown side. sin formula states that asinA=bsinB=csinC

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.