Question

Jacques is standing 1200 meters from a cliff he is planning to climb. The angle of elevation from the ground to the top of the cliff is 35º. To the nearest meter, how tall is the cliff?

Answer 1

840 m

Explanation:

Please refer to the attached photo.

In the attached photo, h is the height of the cliff.

The following data were obtained from the attached photo:

Opposite = h

Adjacent = 1200

θ = 35 °

The height, h of the cliff can be obtained by using the Tan ratio as follow:

Opposite = h

Adjacent = 1200

θ = 35 °

Tan θ = Opposite /Adjacent

Tan 35 = h/1200

Cross multiply

h = 1200 × Tan 35

h = 1200 × 0.7

h = 840 m

Therefore, the cliff is 840 m tall.