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| e The measure of one acute angle of a right triangle is 78°. Find the other acute angle in the triangle. e |
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e The measure of one acute angle of a right triangle is 32° 43′. The other acute angle of the triangle is:
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e The angle of elevation of the top of a pole measures 48° from a point on the ground 18 ft from the base of it. Fnd the height of the flagpole.
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| e A pillar of height 200 ft casts a shadow of 320 ft long. Find the measure of the angle of elevation of the sun. e |
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| e In the figure, if ∠C = 90°, ∠A = 34°20′, DC = 8.4 and BC = 20.5, then the measure of ∠ABD is: e |
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e A flagpole is placed on top of the building. From a point on the ground 250 ft from the base of a building, the angles of elevation of the top and bottom of the flagpole observed are 70°15′ and 57°20′. Find the height of the flagpole.
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| e What is the maximum area of a triangle with two sides 3 cm, 4 cm?. e |
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| e A boy stands at 190 m from the base of a tower whose height is 300 m. Find the angle of depression of the boy from the top of the tower. e |
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e In right triangle PQR, if ∠Q = 90°, ∠R = 22° and q = 35, then the measure of r to two significant digits is ____.
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e In right triangle ABC, if ∠B = 90°, ∠C = 70° and c = 18, then the measure of b to two significant digits is:
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e In right triangle DEF, if ∠D = 42°, ∠E = 90° and f = 32, then the measure of e to two significant digits is:
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e In right triangle PQR if ∠Q = 90°, ∠R = 30° and r = 12, then the measure of p to two significant digits is:
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e In right triangle PQR if ∠Q = 90°, if p = 5 and r = 12, then find the measure of ∠P to the nearest degree.
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| e Find the height of an equilateral triangle of area 163 in2. e |
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| e A pole is of height 150 m. Two boys on either side of the pole observed the angles of elevation of the top of the pole as 30°20′ and 45°30′. Find the distance between the boys. e |
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| e In right triangle PQR, if ∠Q = 90°, p = 32, and r = 13, then find the measure of ∠p to the nearest degree. e |
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e a, b are two sides of a triangle and θ is their included angle. What is the area of the triangle?.
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e In an isosceles triangle PQR, if p = 13, q = 13, and r = 20, then what is the measure of ∠Q to the nearest degree?
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e What is the area of an equilateral triangle with side 4 cm?
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e In an isosceles triangle ABC, if b = 18, c = 18 and ∠C = 50°, then the length (to two significant digits) of side a is:
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| e In an isosceles triangle ABC, if b = 20, c = 20 and ∠C = 70°, then the length (to two significant digits) of the altitude drawn from A to BC is: e |
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e In an isosceles triangle STV if s = 14, v = 14 and t = 22, then find the measure of ∠STV to the nearest degree.
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e In right triangle ABC, if ∠C = 90°, ∠B = 28°20′, and b = 11.8, then the length of c to three significant digits is:
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e In right triangle PQR, if ∠Q = 90°, ∠P = 42°10′ and q = 23.4, then the length of r to three significant digits is:
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e In right triangle STQ, if ∠T = 90°, q = 10.6 and ∠S = 43°50′, then the length of s to three significant digits is:
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e In right triangle DEF, if ∠E = 90°, d = 15.3, and f = 23.1, then what is the measure of ∠f to nearest ten minutes?
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| e In the diagram, QR ⊥ PR, QS ⊥ RS and ∠QPR = ∠SQR = θ. It then follows that y = _______ e |
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| e Find the area of an equilateral triangle with height 8in. e |
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| e In the figure, if ∠R = 90°, ∠P = 35°25′, ∠QSR = 62°30′ and RS = 18.3, then what is the length of PQ? e |
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| e In right triangle ABC, if ∠B = 90°, B = 45.8, and c = 31.2, then what is the measure of ∠c to the nearest ten minutes? e |
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