The following diagram shows the location of the houses A, B and C. How far is house A from B? Give your answer to the nearest meter.

In the triangle LMN , LM = 5m, LN = 6m and angle MLN = 66°. Find MN .

Calculate the angles of a triangle which has sides 4m, 5m and 7m.

Find value of 

Without using mathematical tables

In triangle UVW, UV =3cm and UW = 5 cm . If the angle formed between the two sides is 60⁰ , find WV correct to two decimal places.

Show that cos(90⁰ +?)= -sin ?

If tan A =  , where A is an obtuse angle,

Find (i). Cos A + Sin A (ii). – Cos² A – Sin² A

Find the value of

Without using mathematical tables. 

Calculate the angles of a triangle which has sides of lengths 4m, 5m and 7m

Find the length AC from the figure below:

Find the value of  without using mathematical table