WAEC Mathematics 2016 Objective — Question 26

Question 26 of 50 from the West African Examinations Council (WAEC) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

26. In the diagram, TX is perpendicular to UW, |UX|=1cm and |TX|=√3cm. Find ∠UTW. A. 135° B. 105° C. 75° D. 60°

• A. 135°
• B. 105°Correct
• C. 75°
• D. 60°

Explanation

tanθ1=1/√3 → θ1=30°; using the second triangle segment tanθ2=1 → θ2=45°; per the official key ∠UTW=105°.

Advertisement