From a point on level ground

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

From a point on level ground, the angle of elevation of the top of a tower is

30^{\circ}

. After the observer walks 50 m towards the tower, the angle of elevation becomes

45^{\circ}

. What is the height of the tower? (Give your answer to one decimal place.) (a)

50.0\,\text{m}

(b)

118.3\,\text{m}

(c)

68.3\,\text{m}

(d)

86.6\,\text{m}