In a right-angled triangle GHI, ∠G is a right angle

MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

In a right-angled triangle GHI, ∠G is a right angle. The two legs are

GH = 7\,\text{cm}

and

GI = 24\,\text{cm}

. (i) Calculate the length

HI

to one decimal place. (ii) Using your answer from (i), find

\cos H

in simplest fractional form. (iii) Hence determine

\tan I

to two decimal places.