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Trigonometric Ratios and Identities · Paper 2 — Free Maths AA HL Practice Questions

1MasterySAQ-SDefinitions of sine, cosine, and tangents6 marksPaper 2~9 min
A vertical radio mast of height 30 m30\,\text{m} is supported by two straight cables attached to the top of the mast and anchored at points AA and BB on horizontal ground on opposite sides of the mast. The cable to AA makes angle of 25°25° with the horizontal; the cable to BB makes angle of 40°40° with the horizontal.
(a)
Calculate the distance from the base of the mast to anchor point AA. Give your answer correct to 3 significant figures. [2 marks]
(b)
Calculate the length of the cable to anchor point BB. Give your answer correct to 3 significant figures. [2 marks]
(c)
Given that AA and BB lie on opposite sides of the mast, calculate the distance ABAB. Give your answer correct to 3 significant figures. [2 marks]
diagram

Solutions

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