Right Triangle Word Problems (Created by YOU!)

Timothy Tabit is trying to find out the height of a giant sequoia tree. He knows that the angle of elevation to the height of the tree is  $74\degree$  . The distance he measured from the base of the tree and discovered it was 42 feet. What is the height of the tree?

• 0.083ft

• 146.5ft

• 96.1ft

• 154ft

A ladder is standing up against a house, which makes a  $90\degree$  angle. The ladder is 6 ft. tall, the width is 3ft. How high up the house does the ladder reach?

• 6.9 ft

• 4.3 ft

• 3 ft

• 5.2 ft

A girl is flying a kite that has 155 ft long string. It has a 15 degree angle of elevation. How high is the kite flying above the ground?

• 149.7 ft

• 40.1 ft

• 41.5 ft

• 621.7 ft

Emilio won a laptop in a school raffle. The laptop screen measures 12 inches in height and 24 inches in width. Find the diagonal length of the laptop.

• 26.8 inches

• 20.8 inches

• 23.8 inches

• 25 inches

Jade is standing outside on a sunny day. At 2:00pm, the distance from the top of her head to the

end of the shadow is 13 feet. If Jade is 60 inches tall, what is the angle of elevation from the top of her shadow to the top of her head? (remember to convert inches to feet before you answer!)

• $6.7\degree$

• $99\degree$

• $67.3\degree$

• $22.6\degree$

Does the set of numbers form a Pythagorean Triple?

9, 4, 10

• No, because the numbers do not satisfy $a^2+b^2=c^2$

• Yes, because the numbers satisfy $a^2+b^2=c^2$

SOH is

• Sine = Opp/Hyp

• Sin = Opp/Hyp

• Sin(x) = Opp/Hyp

• Some Other Hype

Use the given right triangle to find the ratio, in reduced form for Cos(A)