IB QUESTIONS: The height of a vertical cliff is 450 m. The angle of elevation from a ship to
the top of the cliff is 31°. The ship is x metres from the bottom of the cliff.
a Draw a diagram to show this information.
b Calculate the value of x.
In the diagram, triangle ABC is isosceles.
AB = AC, CB = 20 cm and angle ACB is 32º.
Find a the size of angle CAB
b the length of AB
c the area of triangle ABC.
30
200

Step-by-step explanation:

Using SOHCAHTOA

Second Question Explanation:

a. The base angles of an isosceles triangle are equal so angle ABC is also 32°

but the sum of angles in a triangle = 180° therefore

let angle CAB be x

b. If you share a triangle in half you get 2 right angles so I'll use SOHCAHTOA to find the length AB

First the base of the right angled triangle will be 20/2 = 10

c. To find the are we'll need to get the height first

using the right angled triangle With base 10cm and hypotenuse 11. 8 to find the height we'll use the Pythagorean theorem

now to find the area

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

a

step-by-step explanation: