1. Find the value of the missing edge to 2 decimal places 2. Find the angle θ to 2 decimal places
The triangle is a right angled triangle with hypotaneuse y, and sides are 7 and 10. The angle θ is between the hypotaneuse and the side of length 10 (I do have a diagram) For question 1: Using Pythagoras’ Theorem you have c^2 = a^2+b^2 (would draw a diagram) Therefore, y^2 = 10^2 + 7^2 y^2 =100+49 y= √149 y = 12.21 For question 2: Using SOHCAHTOA you have the edge opposite to the angle and the edge adjacent to it, therefore you use tan(θ) = Opposite/Adjacent. Therefore, tan(θ)= 7/10 θ = inverse of tan ( 7/10) θ = 34.99 degrees
AC
Related Maths GCSE answers
All answers ▸A point lies on a circles diameter such that the distance from the point to the edge of circle is 4 times the distance from the point to the centre. What is the circles area in cm^2 if the distance from the point to edge is 5cm?
x - 2y = 1 , x^2 + y^2 = 13 find the solutions to this quadratic equation
3^a = 1/9, 3^b = 9sqrt(3) c = 1/sqrt(3). Work out the value of a + b + c
There are n sweets in a bag. 6 of the sweets are orange. The rest of the sweets are yellow. Hannah takes a sweet from the bag and eats it. Hannah then takes at another sweet. The probability that Hannah eats two orange sweets is 1/3. Show that n²-n-90=0