Consider the following diagram:
Find the length of AB, correct to two decimal places.
For each of the following diagrams, find the length of AD, correct to two decimal places:
Consider the following diagram:
Find the value of h, correct to two decimal places.
Consider the following figure:
Find the size of angle y, rounded to the nearest second.
A suspension bridge is being built. The top of the concrete tower is 49.7 \text{ m} above the bridge and the connection point for the main cable is 22.9 \text{ m} from the tower.
Assume that the concrete tower and the bridge are perpendicular to each other.
Find the angle the cable makes with the road, correct to the nearest second.
An isosceles triangle has equal side lengths of 14 \text{ cm} and a base of 8 \text{ cm}.
Find the size of the base angle A, rounded to the nearest second.
Consider the following diagram:
Find the size of angle z, rounded to the nearest second.
Sand has an angle of friction of about 40 \degree. This means once the base angles get larger than this, the sand slides down the side of the sand pile. Valerie is getting a delivery of sand to her home, but the area where the sand will be delivered is only 13.2 \text{ m} wide.
Find h, the maximum height of Valerie's sandpile in metres, correct to two decimal places.
Consider the following diagram:
Find the length of AC, correct to two decimal places.
Hence, find the length of CD, correct to two decimal places.
A safety fence is constructed to protect tourists from the danger of an eroding castle toppling down. The surveyor takes an angle measurement to the top of the tower of 19 \degree. She then walks 24 \text{ m} towards the tower and takes another reading of 38 \degree.
Find the height of the castle, h, correct to two decimal places.
Consider the following diagram:
Find x, correct to two decimal places.
A girl is flying a kite that is attached to the end of a 11.9 \text{ m} length of string. The angle between the string and the vertical is 28 \degree.
If the girl is holding the string 1.5 \text{ m} above the ground, find the height, h, of the kite above the ground, correct to two decimal places.
AB is a tangent to a circle with centre O. OB is 20 \text{ cm} long and cuts the circle at C.
Find the length of BC, correct to two decimal places.
In the following diagram, \angle CAE = 57 \degree, \angle CBE = 66 \degree and CE = 29.
Find the length of AB, correct to two decimal places.
Hence or otherwise, find the length of BD, correct to two decimal places.
