A school allots £3000 to spend on a trip to the theatre.
1 answer:
You might be interested in
Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
Answer:
h = 57.73 m
Step-by-step explanation:
We have,
The angle of elevation of the top of tower to be 30 degree
James is 100 m away horizontally from the base of the tower.
It is required to find the height of the tower.
Here, angle is 30 degree
Base, b = 100 m
Let h is the height of the tower. The relation between base and height is given by :
So, the height of the tower is 57.73 m.
Answer:
28 million college students.
Step-by-step explanation:
We can represent all college students as x. This means that all part-time college students are . Because all part-time college students are also equal to 8.6 million, we have
. To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:
The left side of the equation evaluates as . Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.