Question

MATHEMATICS

1. A man saw the top of a tower through an angle of elevation of 40 degree. He walked 42m on a straight line towards the tower. He again saw the top of the tower through an angle of elevation of 50 degree. What more distance has the man to walk to get to the base of the tower?
2. Five loaves of bread and three tins of sardines cost N350.00 while two loaves of bread with two tins of sardines cost N180.00. What is the cost of three loaves of bread and three tins of sardines?
3. P varies partly directly as Q and partly inversely as the square of R when P = 1, Q = 2 and R = 3. When P = 2, Q = 1, R = 5. Find Q when P = 3 and R = 4.​

Answer 1

Explanation:

five loaves of bread ands three tins of sardines cost N350.00 while two loaves of bread with

two tins of sardine cost N180.00 what is the cost of three loaves of bread and three tins of sardine

Answer 2

Explanation:

1.

In the diagram, "h" represents the height of the tower, "d" represents the original distance between the man and the tower before he walked 42m, and "x" represents the distance the man still has to walk to get to the base of the tower.Using trigonometry, we can write two equations based on the two angles of elevation:tan(40°) = h / (d + 42)tan(50°) = h / dWe want to solve for x, so we need to eliminate "h" from these equations. To do that, we can isolate "h" in each equation:h = (d + 42) tan(40°)h = d tan(50°)Now we can set these two expressions equal to each other:(d + 42) tan(40°) = d tan(50°)Simplifying and solving for "d", we get:d = 42 / (tan(50°) - tan(40°))Now that we know "d", we can find "x" by subtracting 42 from it:x = d - 42Plugging in the values and using a calculator, we get:d = 78.39x = 78.39 - 42 = 36.39Therefore, the man has to walk an additional 36.39 meters to get to the base of the tower.

p.s if you want the others seperate them, or find someone else.