A block of flats is 100m away from a cellphone tower. Someone stands at
. They measure the angle from
up to the top of the tower
to be 62
. This is the angle of elevation. They then measure the angle from
down to the bottom of the tower at
to be 34
. This is the angle of depression.What is the height of the cellph one tower correct to 1 decimal place?
To find the height of the tower, all we have to do is find the length of
and
. We see that
and
are both right-angled triangles. For each of the triangles, we have an angle and we have the length
. Thus we can calculate the sides of the triangles.
We are given that the length
is 100m.
is a rectangle so
.
Use your calculator to find that
. Using this, we find that
m
We have that the height of the tower
.
Maps and plans
Maps and plans are usually scale drawings. This means that they are an exact copy of the real thing, but are usually smaller. So, only lengths are changed, but all angles are the same. We can use this idea to make use of maps and plans by adding information from the real world.
A ship approaching Cape Town Harbour reaches point A on the map, due south of Pretoria and due east of Cape Town. If the distance from Cape Town to Pretoria is 1000km, use trigonometry to find out how far east the ship is from Cape Town, and hence find the scale of the map.
We already know the distance between Cape Town and
in blocks from the given map (it is 5 blocks). Thus if we work out how many kilometers this same distance is, we can calculate how many kilometers each block represents, and thus we have the scale of the map.
Let us denote Cape Town with
and Pretoria with
.
We can see that triangle
is a right-angled triangle. Furthermore, we see that the distance
and distance
are both 5 blocks. Thus it is an isoceles triangle, and so
.
To work out the scale, we see that
Mr Nkosi has a garage at his house, and he decides that he wants to add a corrugated iron roof to the side of the garage. The garage is 4m high, and his sheet for the roof is 5m long. If he wants the roof to be at an angle of
, how high must he build the wall
, which is holding up the roof? Give the answer to 2 decimal places.
We see that the triangle
is a right-angled triangle. As we have one side and an angle of this triangle, we can calculate
. The height of the wall is then the height of the garage minus
.
If
=5m, and angle
, then
Thus we have that the height of the wall
.
Applications of trigonometric functions
A boy flying a kite is standing 30 m from a point directly under the
kite. If the string to the kite is 50 m long, find the angle ofelevation of the kite.
What is the angle of elevation of the sun when a tree 7,15 m tall
casts a shadow 10,1 m long?
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
hello. autism is a umbrella term. autistic kids have different disorder overlapping. for example. a kid may show symptoms of ADHD and also learning disabilities.
before treatment please make sure the kid doesn't have physical disabilities like hearing..vision..speech problem. sometimes these
Jharna
continue..
sometimes due to these physical problems..the diagnosis may be misdiagnosed.
treatment for autism.
well it depends on the severity.
since autistic kids have problems in communicating and adopting to the environment.. it's best to expose the child in situations where the child
Jharna
child interact with other kids under doc supervision.
play therapy.
speech therapy.
Engaging in different activities that activate most parts of the brain.. like drawing..painting. matching color board game.
string and beads game.
the more you interact with the child the more effective
Jharna
results you'll get..
please consult a therapist to know what suits best on your child.
and last as a parent. I know sometimes it's overwhelming to guide a special kid.
but trust the process and be strong and patient as a parent.
Jharna
Got questions? Join the online conversation and get instant answers!