Find the length of b, to the nearest tenth of a metre.
Find the length of b, to the nearest tenth of a metre.
Find the measure of \angle D, to the nearest degree.
Find the measure of \angle D, to the nearest degree.
Solve each triangle. Round answers to the nearest tenth of a unit, if necessary.
Solve each triangle. Round answers to the nearest tenth of a unit, if necessary.
In \triangle XYZ, \angle X = 71^{\circ}, \angle Y = 57^{\circ}, and x = 10.3 m.
Three buoys are positioned in the swimming area at the local park, as shown. The blue buoy is 22 m from the green buoy and 25 m from the yellow buoy. The line from the blue buoy to the green buoy and the line from the blue buoy to the yellow buoy form an angle of 72^{\circ}.
a) How far apart are the green buoy and the yellow buoy, to the nearest metre?
b) Find the measures of the other angles in the triangle formed by these three buoys, to the nearest degree.
Find the length of s, to the nearest centimetre.
Solve each triangle. Round answers to the nearest unit, if necessary.
a)
b) In acute \triangle RDK, \angle R = 62^{\circ}, k = 15 cm, and d = 18 cm.
Shelly is standing 16 m from the point where Hunter is standing and 12 m from the point where Ian is standing. From her point of view Hunter and Ian appear to be 43^{\circ} apart.
a) Draw a diagram and label the known information.
b) How far apart are Hunter and Ian, to the nearest metre?
Find the measure \angle C, to the nearest degree.
Find the measure \angle C, to the nearest degree.
Solve each triangle. Round answers to the nearest tenth of a degree.
a)
b) In acute \triangle FHM, f = 3.7 mm h = 4.2 m, and m = 5.3 m.
A fence is constructed around three posts, as shown.
Find the total length of the fence, to the nearest tenth of a metre. Ignore the curved sections.
Adam is standing on the level ground directly between two buildings. The top of the first building is 23 m away from Adam, at an angle of elevation of 46^{\circ}, while the top of the second building is 27 m away from Adam at an angle of elevation of 52^{\circ}.
a) Draw a diagram and label the known information.
b) How far apart are the tops of the two buildings, to the nearest metre?
c) How far is Adam from the bottom of each building, to the nearest metre?
d) What is the height of each building, to the nearest metre?
Sydney is a passenger in a small aircraft. At the same time, she spots a hydro tower that is 5.3 km away to the south and a water tower that is 6.5 km away to the north. The hydro tower and the water tower are separated by a distance of 7.2 km along the flat ground. Find the angles at which Sydney is viewing the hydro tower and the water tower, to the nearest degree.