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Alg1 Q4 Quiz 4 Review
April 23, 2008
Right Triangle Word Problems
1) The area of a square is 64 in2. Find the perimeter.
2) The perimeter of a square is 144 cm. Find the area.
3) The area of a square is 49 cm2. Find the length of the square’s diagonal in simplest
radical form.
4) Dora the Explorer is pelting Spongebob with rocks from a 6th story fire escape. If
Spongebob is 35 feet from the base of the building and the angle of depression is 63º,
what distance (to the nearest tenth of a foot) is the rock traveling?
5) Hojas is back and he is sitting on the floor flying a kite. He has 410 feet of string. If
the kite is 361 feet high, find the angle of elevation to the nearest tenth of a degree.
6) A statue of Stembridge casts a 42-foot shadow. If the angle of depression is 61°, how
tall is the statue, to the nearest hundredth of a foot?
7) An eagle flies 10 miles north and then 6 miles west. How far is the bird from the
staring point? State your answer in simplest radical form.
8) The dimensions of a rectangular sandbox are stated in feet as the width being x + 9 and
the length being x + 16. If the rectangle’s diagonal is x + 17, find the perimeter of the
garden.
9) A slide is attached to the side of a tree house. The height of the tree house is 6 less
than double the distance from the base of the tree to the base of the slide. The length of
the slide is 3 more than the height of the tree house. Find the length of the slide.
10) The area of a rectangle is 50 yds2. The length is represented by x + 11. The width is
represented by x + 6. Find the length of the rectangle’s diagonal in simplest radical form.
Answer Key:
1) 32in
4) 77.1 ft
7) 2√34 miles
9) 15 feet
2) 1,296 cm2 3) 7√2 cm
5) 61.7º
6) 75.77 ft
8) x = -4; sides = 5,12,13; p = 30ft
10) x = -1; w=5; l=10; diagonal = 5√5 yds.