i need help with these questions plzzz

This is level 7: mixed questions (15 questions). You will be awarded a trophy if you get at least 10 correct. Give your answers correct to three significant figures. For the first six questions find the value of x. Diagrams are not to scale. x cm x cm 21cm 37 48 cm 15cm 12 x cm 410 4 5 6 18cm 12.4 cm 60 w5 x 27cm 5.5m 16cm7 R Q Calculate the size in degrees of angle QRP if: PQ = 69 metres; QR = 115 metres; RP = 92 metres. angle QPR = 8 In triangle ABC the angle at B is 90. If BC = 29mm and AB = 34mm find the size of the angle at C in degrees. angle C = 9 In triangle DEF the angle at E is 90. If DF = 38m and the angle at F is 410 find the length of the side DE. DE = mCalculate the length of the hypotenuse of this right-angled triangle if the length of the base (shown as din the diagram) is 30 metres. '3 Miriam is lying on a flat, horizontal beach looking up at the top of a 44m high cliff which is 45m away. Find the angle of elevation of the top of the cliff from Miriam's position on the beach. angle = :I" The diagram shows an isosceles triangle. The equal angles, x, are each ?5 degrees and the equal sides,f, are each 1'0 metres. Find the length of the shorter side of the triangle marked as 3. [Hint: Sketch a horizontal line on the diagram to split the isosceles triangle into two right-angled hiangles.] '9 Find the smallest angle of an isosceles triangle that has one side of length 1.4cm and two sides of length 3.5cm. [Hint: Draw a sketch of the isosceles triangle then sketch its line of symmetryr to split the isosceles triangle into two right-angled triangles] angle = E m n p S Find m if n = 97cm, p = 450 and d = 270. m = cm In triangle PQR there is a right-angle at Q. The side PQ is twice as long as side QR. Calculate the size of angle RPQ. angle RPQ =