Geometry Answers

Two men P and Q set off from a base camp R prospecting for oil. P moves 20km on a bearing of 250° and A moves 15km on a bearing of 60. Calculate the Distance of Q from P

2: bearing of Q from

Solid A and solid B are similar. The surface area of solid A is 675 m² and the surface area of solid B is 432 m². If the volume of solid B is 960 m³, find the volume of solid A.

find xy, x(-9,2) and y(5,-4)

Solid A and solid B are similar. The surface area of solid A is 675 m² and the surface area of solid B is 432 m². If the volume of solid B is 960 m³, find the volume of solid A.

If X and Y are complementary angles, sinX =15/17 and cos X = 8/17, find each of the following :

a. tanX=

b. sinY=

c. cosY=

d. tsnY=

A pottery manufacturer has made 50 hanging vases each to hold 1 pint of water when full. The vases are in the form of pentagonal pyramid. The area of the pentagon when cut out of the plane of the base by the lateral faces is 9 sq. in. The height of the base is 1 ft. (Fig. 4.2.4). Compute the total weight of the 50 vases if each weighs 150 lbs. per cu. ft.

Find the total area of a regular triangular pyramid if each side of the base is 6 m. and the slant height forms an angle of 30º with the base.

An anonymous donor gave a large sum of money to the

Parks and Recreation Department.

The money is to be used to build a large circular water park.

Your task is to design the water park.

The water park has radius 30 m.

The side length of each square on this grid represents 4 m.

You must include the following features:

2 Wading Pools:

Each wading pool is triangular.

The pools do not have the same dimensions.

Each pool has area 24 m2

.

3 Geysers:

A geyser is circular.

Each geyser sprays water out of the ground,

and soaks a circular area with diameter 5 m or 10 m.

2 Wet Barricades:

A barricade has the shape of a parallelogram.

A row of nozzles in the barricade shoots water vertically.

The water falls within the area of the barricade.

Unit Problem

172 UNIT 4: Circles and Area

4 Time-out Benches:

Each bench is shaped like a parallelogram.

It must be in the park.

At Least 1 Special Feature:

This feature will distinguish your park from other parks.

This feature can be a combination of any of the

shapes you learned in this unit.

Give the dimensions of each special feature.

Explain why you included each feature in the park.

Your teacher will give you a grid to draw your design.

You may use plastic shapes or cutouts to help you plan your park.

Complete the design.

Colour the design to show the different features.

Design your park so that a person can walk through

the middle of the park without getting wet.

What area of the park will get wet?

XY:YZ is1:5

The side length of a square can be expressed by the formula s=√A where A is the area of thw square. I f the area of the square is 50m², what is the length of its side?