Get premium membership and access questions with answers, video lessons as well as revision papers.
Use the trigonometric equation
Let x represent the horizontal displacement
Cos 10° = x/5
X = 5 Cos 10°
X = 4.92 km
Let y represent the vertical displacement
Then sin 10° = y
Y = 5 sin 100
Y = 0.8682 km
joseph rimiru answered the question on October 3, 2017 at 17:18
- A bouncing castle consists of a conical top and a cylindrical base. The diameter of the base is 5 m and the height of the...(Solved)
A bouncing castle consists of a conical top and a cylindrical base. The diameter of the base is 5 m and the height of the cylindrical part is 4 m. If the total height is of the two parts is 9 m, calculate :
a. Its total surface area.
b. Its total volume.
Date posted: October 3, 2017. Answers (1)
- One of the large angles of rhombus is 100° and its sides are 20 cm long. Find the area of the rhombus.(Solved)
One of the large angles of rhombus is 100⁰ and its sides are 20 cm long. Find the area of the rhombus.
Date posted: October 3, 2017. Answers (1)
- A triangular lawn measures 12m, 16m, and 8m. Find the area of the garden.(Solved)
A triangular lawn measures 12m, 16m, and 8m. Find the area of the garden.
Date posted: October 3, 2017. Answers (1)
- Calculate the height of a cone if its base radius is 7.7 cm and has a volume of 514.6 cm^3.(Solved)
Calculate the height of a cone if its base radius is 7.7 cm and has a volume of 514.6 cm^3.
Date posted: October 2, 2017. Answers (1)
- A metal tube whose bore is 100 mm and thickness 21 is 7 m long. Find the volume of the metal it is made from.(Solved)
A metal tube whose bore is 100 mm and thickness 21 is 7 m long. Find the volume of the metal it is made from.
Date posted: October 2, 2017. Answers (1)
- A right pyramid has a square base 9 metres and is 20 metres high.
a. find its volume
b. If the...(Solved)
A right pyramid has a square base 9 metres and is 20 metres high.
a. find its volume
b. If the pyramid is cut at a height of 10 metres, find the volume of the frustum formed.
Date posted: October 2, 2017. Answers (1)
- Given that Cos x = sin (5x + 10). Find a. x b. ...(Solved)
Given that Cos x = sin (5x + 10). Find a. x b. Tan x
Date posted: October 2, 2017. Answers (1)
- Find the volume of a prism 30 cm long and its cross-section is regular, pentagon of side 10 cm.(Solved)
Find the volume of a prism 30 cm long and its cross-section is regular, pentagon of side 10 cm.
Date posted: October 2, 2017. Answers (1)
- Given that the density of lead is 11.4 g/cm^3. Calculate the mass of a lead sphere whose radius is 15 cm.(Solved)
Given that the density of lead is 11.4 g/cm^3. Calculate the mass of a lead sphere whose radius is 15 cm.
Date posted: October 2, 2017. Answers (1)
- Find the volume of each of the following right pyramid (Assume all are solids)
a. Triangular base, 7cm, 14 cm, 17cm and height 24 cm.
b. Square base, 9...(Solved)
Find the volume of each of the following right pyramid (Assume all are solids)
a. Triangular base, 7cm, 14 cm, 17cm and height 24 cm.
b. Square base, 9 cm, height 20cm.
c. Rectangular base, 4 cm by 10 cm, height 24 cm.
Date posted: October 2, 2017. Answers (1)
- A water tank is placed is placed on a concrete tower which is a regular hexagon of 5 m sides and height of 35 m....(Solved)
A water tank is placed is placed on a concrete tower which is a regular hexagon of 5 m sides and height of 35 m. Find the volume of the concrete used to make it.
Date posted: October 1, 2017. Answers (1)
- A walkway 200 m long and 1.6 m wide was to be made along a road. Find the volume of gravel needed to cover it...(Solved)
A walkway 200 m long and 1.6 m wide was to be made along a road. Find the volume of gravel needed to cover it to depth of 10 cm.
Date posted: October 1, 2017. Answers (1)
- A regular hexagonal nut of sides 6 cm and height 4 cm was used in lorry. Find its volume, assume it is a solid.(Solved)
A regular hexagonal nut of sides 6 cm and height 4 cm was used in lorry. Find its volume, assume it is a solid.
Date posted: October 1, 2017. Answers (1)
- A sphere whose diameter is 28 cm. find the surface area of the sphere.(Solved)
A sphere whose diameter is 28 cm. find the surface area of the sphere.
Date posted: September 30, 2017. Answers (1)
- Find the value of sin 60° , Cos 60° and Tan 60° without using the mathematical tables.(Solved)
Find the value of sin 60⁰ , Cos 60⁰ and Tan 60⁰ without using the mathematical tables.
Date posted: September 30, 2017. Answers (1)
- State the value of the trigonometric ratios leave your answer in surds form a. sin 45° b. Cos 45° c. Tan 45°(Solved)
State the value of the trigonometric ratios leave your answer in surds form
a. sin 45°
b. Cos 45°
c. Tan 45°
Date posted: September 30, 2017. Answers (1)
- Without using the mathematical tables, state the following:
a. sin 30°
b. cos 30°
c. Tan 30°
(Solved)
Without using the mathematical tables, state the following:
a. sin 30⁰
b. cos 30⁰
c. Tan 30⁰
Date posted: September 30, 2017. Answers (1)
- If the radii of two spheres are 7 cm and 21 cm and the volume of the bigger sphere is 729 cm^3 . Find the...(Solved)
If the radii of two spheres are 7 cm and 21 cm and the volume of the bigger sphere is 729 cm^3 . Find the volume of the smaller sphere.
Date posted: September 30, 2017. Answers (1)
- 49/25 is the ratio of the areas of two squares.
a. what...(Solved)
49/25 is the ratio of the areas of two squares.
a. what is the ratio of their lengths
b. the smaller had a length of 10 cm, find the length of the bigger one.
Date posted: September 30, 2017. Answers (1)
- A rectangle whose area is 36 cm^2 is given an enlargement with linear scale factor of 2....(Solved)
A rectangle whose area is 36 cm^2 is given an enlargement with linear scale factor of 2. Find the area of the image obtained.
Date posted: September 30, 2017. Answers (1)