Sine, cosine, and tangent ratios

SOH-CAH-TOA: define each ratio in a right triangle and compute it from side lengths.

Standards:G-SRT.C.6

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

A surveyor stands 45 m from the base of a lighthouse. The angle of elevation to the top is 62°. Find the height of the lighthouse to the nearest meter.

Question 2 of 3

A surveyor stands 45 meters from the base of a cliff and measures the angle of elevation to the top as 38°. Find the height of the cliff to the nearest meter.

Question 3 of 3

A ladder leans against a wall, touching the ground 2.5 m away from the base. If the ladder makes a 68° angle with the ground, how tall is the wall where the ladder touches it? (Round to 1 decimal place.)

How this fits in

Sine, cosine, and tangent ratios is one skill in the Trigonometry unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

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