Find the value of \(p\) in the adjacent triangle (1dp)

Find the size of angle A, correct to the nearest degree.

Find the size of angle \(\theta \) , correct to the nearest degree.

Find the total distance around track, going through checkpoint 1 and 2. (1dp)

Find the value of \(\theta \)

A kite with a string of length 100 m is 85 m above the ground. What is the size of the angle that the string makes with the horizontal?

A section of a rollercoaster ride has a \(64^\circ \) angle of depression. If the length of the section is 48 m, what is the length of its vertical drop, correct to one decimal place?

Bugs Bunny was 66 m below ground, digging his way toward Pismo Beach, when he realized he wanted to be above ground. He turned and dug through the dirt diagonally for 160 meters until he was above ground.

What is the angle of elevation, to the nearest degree, of Bugs Bunny’s climb?

Joseph finds that the angle of elevation of a cliff, 520 m above sea level, is \(44^\circ \). After walking towards the cliff, he finds that the angle of elevation increases to \(60^\circ \). How far did Joseph walk?

A radio station tower was built in two sections. From a point 78 feet from the base of the tower, the angle of elevation of the top of the first section is \(35^\circ \) and the angle of elevation of the top of the second section is \(60^\circ \). To the nearest foot, what is the height of the top section of the tower?

A point, \(P\), lies between a flagpole, 20 metres high, and a tower, 32 metres tall. Candida is standing between the flagpole and the tower. From Candida’s position, the angle of elevation to the top of the flagpole is \(34^\circ \) and to the top of the tower is \(73^\circ \).

Calculate the direct distance between the base of the flagpole and the bottom of the tower nearest to two decimal places.

A hilltop is viewed from two different locations. The walking trail up the mountain is 450 m long at an angle of elevation of \(12^\circ \). The bus travels on a road that is 1.1 km long on the opposite side of the mountain.

Calculate the angle of elevation of the road to one decimal place.

Three sides of a right-angled triangle are in the ration \(3:4:5\). If the perimeter is \(28.8cm\), determine the area of the triangle. 

Find the size of Angle A, correct to the nearest degree